当前期刊: Journal of Functional Analysis Go to current issue    加入关注    本刊投稿指南
显示样式:        排序: IF: - GO 导出
我的关注
我的收藏
您暂时未登录!
登录
  • Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator Lc=−d2/dx2+cx2/3
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-09
    Sergey Tumanov

    The completeness of the system of eigenfunctions of the complex Schrödinger operator Lc=−d2/dx2+cx2/3 on the semi-axis in L2(R+) with Dirichlet boundary conditions is proved for all c: |arg⁡c|<π/2+θ0, where π/10<θ0<π/2 is determined as the only solution of a certain transcendental equation.

    更新日期:2021-01-16
  • Multidimensional Schrödinger operators whose spectrum features a half-line and a Cantor set
    J. Funct. Anal. (IF 1.496) Pub Date : 2021-01-08
    David Damanik; Jake Fillman; Anton Gorodetski

    We construct multidimensional Schrödinger operators with a spectrum that has no gaps at high energies and that is nowhere dense at low energies. This gives the first example for which this widely expected topological structure of the spectrum in the class of uniformly recurrent Schrödinger operators, namely the coexistence of a half-line and a Cantor-type structure, can be confirmed. Our construction

    更新日期:2021-01-08
  • Widths of resonances above an energy-level crossing
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-28
    S. Fujiié; A. Martinez; T. Watanabe

    We study the existence and location of the resonances of a 2×2 semiclassical system of coupled Schrödinger operators, in the case where the two electronic levels cross at some point, and one of them is bonding, while the other one is anti-bonding. Considering energy levels just above that of the crossing, we find the asymptotics of both the real parts and the imaginary parts of the resonances close

    更新日期:2021-01-06
  • On Green functions of second-order elliptic operators on Riemannian manifolds: The critical case
    J. Funct. Anal. (IF 1.496) Pub Date : 2017-07-13
    Debdip Ganguly, Yehuda Pinchover

    Let P be a second-order, linear, elliptic operator with real coefficients which is defined on a noncompact and connected Riemannian manifold M. It is well known that the equation Pu=0 in M admits a positive supersolution which is not a solution if and only if P admits a unique positive minimal Green function on M, and in this case, P is said to be subcritical in M. If P does not admit a positive Green

    更新日期:2021-01-02
  • The dimensional Brunn–Minkowski inequality in Gauss space
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-24
    Alexandros Eskenazis; Georgios Moschidis

    Let γn be the standard Gaussian measure on Rn. We prove that for every symmetric convex sets K,L in Rn and every λ∈(0,1),γn(λK+(1−λ)L)1n⩾λγn(K)1n+(1−λ)γn(L)1n, thus settling a problem raised by Gardner and Zvavitch (2010). This is the Gaussian analogue of the classical Brunn–Minkowski inequality for the Lebesgue measure. We also show that, for a fixed λ∈(0,1), equality is attained if and only if K=L

    更新日期:2020-12-30
  • A note on Lusin-type approximation of Sobolev functions on Gaussian spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-30
    Alexander Shaposhnikov

    We establish new approximation results in the sense of Lusin for Sobolev functions f with |∇f|∈Llog⁡L on infinite-dimensional spaces equipped with Gaussian measures. The proof relies on some new pointwise estimate for the approximations based on the corresponding semigroup which can be of independent interest.

    更新日期:2020-12-30
  • Embeddings of Lipschitz-free spaces into ℓ1
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-24
    Ramón J. Aliaga; Colin Petitjean; Antonín Procházka

    We show that, for a separable and complete metric space M, the Lipschitz-free space F(M) embeds linearly and almost-isometrically into ℓ1 if and only if M is a subset of an R-tree with length measure 0. Moreover, it embeds isometrically if and only if the length measure of the closure of the set of branching points of M (taken in any minimal R-tree that contains M) is also 0. We also prove that, for

    更新日期:2020-12-30
  • Sylvester rank functions for amenable normal extensions
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-24
    Baojie Jiang; Hanfeng Li

    We introduce a notion of amenable normal extension S of a unital ring R with a finite approximation system F, encompassing the amenable algebras over a field of Gromov and Elek, the twisted crossed product by an amenable group, and the tensor product with a field extension. It is shown that every Sylvester matrix rank function rk of R preserved by S has a canonical extension to a Sylvester matrix rank

    更新日期:2020-12-30
  • Equivariant dimensions of graph C*-algebras
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-24
    Alexandru Chirvasitu; Benjamin Passer; Mariusz Tobolski

    We explore the recently introduced local-triviality dimensions by studying gauge actions on graph C⁎-algebras, as well as the restrictions of the gauge action to finite cyclic subgroups. For C⁎-algebras of finite acyclic graphs and finite cycles, we characterize the finiteness of these dimensions, and we further study the gauge actions on many examples of graph C⁎-algebras. These include the Toeplitz

    更新日期:2020-12-30
  • Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-15
    Shinya Kinoshita; Robert Schippa

    Local well-posedness for the two-dimensional Zakharov-Kuznetsov equation in the fully periodic case with initial data in Sobolev spaces Hs, s>1, is proved. Frequency dependent time localization is utilized to control the derivative nonlinearity. The new ingredient to improve on previous results is a nonlinear Loomis-Whitney-type inequality.

    更新日期:2020-12-24
  • A Wiener Tauberian theorem for operators and functions
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-14
    Franz Luef; Eirik Skrettingland

    We prove variants of Wiener's Tauberian theorem in the framework of quantum harmonic analysis, i.e. for convolutions between an absolutely integrable function and a trace class operator, or of two trace class operators. Our results include Wiener's Tauberian theorem as a special case. Applications of our Tauberian theorems are related to localization operators, Toeplitz operators, isomorphism theorems

    更新日期:2020-12-24
  • Interior estimates for Monge-Ampère equation in terms of modulus of continuity
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-08
    Bin Cheng; Thomas O'Neill

    We investigate the Monge-Ampère equation subject to zero boundary value and with a positive right-hand side function assumed to be continuous or essentially bounded. Interior estimates of the solution's first and second derivatives are obtained in terms of moduli of continuity. We explicate how the estimates depend on various quantities but have them independent of the solution's modulus of convexity

    更新日期:2020-12-18
  • Uniqueness of form extensions and domination of semigroups
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-16
    Daniel Lenz; Marcel Schmidt; Melchior Wirth

    In this article, we study uniqueness of form extensions in a rather general setting. The method is based on the theory of ordered Hilbert spaces and the concept of domination of semigroups. Our main abstract result transfers uniqueness of form extension of a dominating form to that of a dominated form. This result can be applied to a multitude of examples including various magnetic Schrödinger forms

    更新日期:2020-12-18
  • A new method of construction of resonances that applies to critical models
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-28
    Volker Bach; Miguel Ballesteros; Diego Iniesta; Alessandro Pizzo

    We introduce a new method of multi-scale analysis that can be used to study the spectral properties of operators in non-relativistic quantum electrodynamics with critical coupling functions. We utilize our method to prove the existence of resonances of nonrelativistic atoms which are minimally coupled to the quantized (ultraviolet-regularized) radiation field and construct them together with the corresponding

    更新日期:2020-12-17
  • The Beurling-Lax-Halmos theorem for infinite multiplicity
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-08
    Raúl E. Curto; In Sung Hwang; Woo Young Lee

    In this paper we consider several questions emerging from the Beurling-Lax-Halmos Theorem, which characterizes the shift-invariant subspaces of vector-valued Hardy spaces. The Beurling-Lax-Halmos Theorem states that a backward shift-invariant subspace is a model space H(Δ)≡HE2⊖ΔHE2, for some inner function Δ. Our first question calls for a description of the set F in HE2 such that H(Δ)=EF⁎, where EF⁎

    更新日期:2020-12-16
  • Sparse domination of weighted composition operators on weighted Bergman spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-09
    Bingyang Hu; Songxiao Li; Yecheng Shi; Brett D. Wick

    The purpose of this paper is to study sparse domination estimates of composition operators in the setting of complex function theory. The method originates from proofs of the A2 theorem for Calderón-Zygmund operators in harmonic analysis. Using this tool from harmonic analysis, some new characterizations are given for the boundedness and compactness of weighted composition operators acting between

    更新日期:2020-12-16
  • Fixed point properties and reflexivity in variable Lebesgue spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-09
    T. Domínguez Benavides; M.A. Japón

    In this paper the weak fixed point property (w-FPP) and the fixed point property (FPP) in Variable Lebesgue Spaces are studied. Given (Ω,Σ,μ) a σ-finite measure and p(⋅) a variable exponent function, the w-FPP is completely characterized for the variable Lebesgue space Lp(⋅)(Ω) in terms of the exponent function p(⋅) and the absence of an isometric copy of L1[0,1]. In particular, every reflexive Lp(⋅)(Ω)

    更新日期:2020-12-16
  • Normalized solutions to the Chern-Simons-Schrödinger system
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-09
    Tianxiang Gou; Zhitao Zhang

    In this paper, we study normalized solutions to the Chern-Simons-Schrödinger system, which is a gauge-covariant nonlinear Schrödinger system with a long-range electromagnetic field, arising in nonrelativistic quantum mechanics theory. The solutions correspond to critical points of the underlying energy functional subject to the L2-norm constraint. Our research covers several aspects. Firstly, in the

    更新日期:2020-12-15
  • Concentration of measure, classification of submeasures, and dynamics of L0
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-08
    Friedrich Martin Schneider; Sławomir Solecki

    Exhibiting a new type of measure concentration, we prove uniform concentration bounds for measurable Lipschitz functions on product spaces, where Lipschitz is taken with respect to the metric induced by a weighted covering of the index set of the product. Our proof combines the Herbst argument with an analogue of Shearer's lemma for differential entropy. We give a quantitative “geometric” classification

    更新日期:2020-12-15
  • Lack of isomorphic embeddings of symmetric function spaces into operator ideals
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-09
    S. Astashkin; J. Huang; F. Sukochev

    Let E(0,1) be a symmetric space on (0,1) and CF be a symmetric ideal of compact operators on the Hilbert space ℓ2 associated with a symmetric sequence space F. We give several criteria for E(0,1) and F so that E(0,1) does not embed into the ideal CF, extending the result for the case when E(0,1)=Lp(0,1) and F=ℓp, 1≤p<∞, due to Arazy and Lindenstrauss [5].

    更新日期:2020-12-15
  • Lebesgue-type inequalities in greedy approximation
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-07
    S. Dilworth; G. Garrigós; E. Hernández; D. Kutzarova; V. Temlyakov

    We present new results regarding Lebesgue-type inequalities for the Weak Chebyshev Greedy Algorithm (WCGA) in uniformly smooth Banach spaces. We improve earlier bounds in [19] for dictionaries satisfying a new property introduced here. We apply these results to derive optimal bounds in two natural examples of sequence spaces. In particular, optimality is obtained in the case of the multivariate Haar

    更新日期:2020-12-15
  • Ring isomorphisms of Murray–von Neumann algebras
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-05
    Shavkat Ayupov; Karimbergen Kudaybergenov

    We give a complete description of ring isomorphisms between algebras of measurable operators affiliated with von Neumann algebras of type II1.

    更新日期:2020-12-13
  • Injectivity of the Heisenberg X-ray transform
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-07
    Steven Flynn

    We initiate the study of X-ray tomography on sub-Riemannian manifolds, for which the Heisenberg group exhibits the simplest nontrivial example. With the language of the group Fourier transform, we prove an operator-valued incarnation of the Fourier Slice Theorem, and apply this new tool to show that a sufficiently regular function on the Heisenberg group is determined by its line integrals over sub-Riemannian

    更新日期:2020-12-13
  • Livšic theorems for Banach cocycles: Existence and regularity
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-07
    Rui Zou; Yongluo Cao

    We prove a nonuniformly hyperbolic version Livšic theorem, with cocycles taking values in the group of invertible bounded linear operators on a Banach space. The result holds without the ergodicity assumption of the hyperbolic measure. Moreover, we also prove that a μ-continuous solution of the cohomological equation is actually Hölder continuous for the uniform hyperbolic system, where a map is called

    更新日期:2020-12-13
  • An extension of Calderón-Zygmund type singular integral
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-04
    Huan Yu; Quansen Jiu; Dongsheng Li

    In this paper, we consider a kind of singular integral which can be viewed as an extension of the classical Calderón-Zygmund type singular integral. We establish an estimate of the singular integral in the Lq space for 1

    更新日期:2020-12-13
  • Lp bounds of maximal operators along variable planar curves in the Lipschitz regularity
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-07
    Naijia Liu; Liang Song; Haixia Yu

    In this paper, for general plane curves γ satisfying some suitable smoothness and curvature conditions, we obtain the single annulus Lp(R2)-boundedness of the Hilbert transforms HU,γ∞ along the variable plane curves (t,U(x1,x2)γ(t)) and the Lp(R2)-boundedness of the corresponding maximal functions MU,γ∞, where p>2 and U is a measurable function. The range on p is sharp. Furthermore, for 1

    更新日期:2020-12-13
  • C⁎-algebras of extensions of groupoids by group bundles
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-07
    Marius Ionescu; Alex Kumjian; Jean N. Renault; Aidan Sims; Dana P. Williams

    Given a normal subgroup bundle A of the isotropy bundle of a groupoid Σ, we obtain a twisted action of the quotient groupoid Σ/A on the bundle of group C⁎-algebras determined by A whose twisted crossed product recovers the groupoid C⁎-algebra C⁎(Σ). Restricting to the case where A is abelian, we describe C⁎(Σ) as the C⁎-algebra associated to a T-groupoid over the tranformation groupoid obtained from

    更新日期:2020-12-07
  • On Sobolev norms for Lie group representations
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-12-01
    Heiko Gimperlein; Bernhard Krötz

    We define Sobolev norms of arbitrary real order for a Banach representation (π,E) of a Lie group, with regard to a single differential operator D=dπ(R2+Δ). Here, Δ is a Laplace element in the universal enveloping algebra, and R>0 depends explicitly on the growth rate of the representation. In particular, we obtain a spectral gap for D on the space of smooth vectors of E. The main tool is a novel factorization

    更新日期:2020-12-02
  • Continuous valuations on the space of Lipschitz functions on the sphere
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-19
    Andrea Colesanti; Daniele Pagnini; Pedro Tradacete; Ignacio Villanueva

    We study real-valued valuations on the space of Lipschitz functions over the Euclidean unit sphere Sn−1. After introducing an appropriate notion of convergence, we show that continuous valuations are bounded on sets which are bounded with respect to the Lipschitz norm. This fact, in combination with measure theoretical arguments, will yield an integral representation for continuous and rotation invariant

    更新日期:2020-12-01
  • The generator rank of C⁎-algebras
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-19
    Hannes Thiel

    We show that every AF-algebra is generated by a single operator. This was previously unclear, since the invariant that assigns to a C⁎-algebra its minimal number of generators lacks natural permanence properties. In particular, it may increase when passing to ideals or inductive limits. To obtain a better behaved theory, we not only ask if a C⁎-algebra is generated by n elements, but also if generating

    更新日期:2020-12-01
  • Sharp estimates of the Cesàro kernels for weighted orthogonal polynomial expansions in several variables
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-18
    Feng Dai; Yan Ge

    We study the Cesàro means of the orthogonal polynomial expansions (OPEs) with respect to the weight function ∏i=1d|xi|2κi on the unit sphere Sd−1⊂Rd for all parameters κ1,⋯,κd>−12. We obtain sharp pointwise estimates for the corresponding Cesàro kernels, which were previously known when all parameters are nonnegative. We settle the problem for the case when min1≤j≤d⁡κj<0. Our estimates allow us to

    更新日期:2020-12-01
  • Geometry and volume product of finite dimensional Lipschitz-free spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-11
    Matthew Alexander; Matthieu Fradelizi; Luis C. García-Lirola; Artem Zvavitch

    The goal of this paper is to study geometric and extremal properties of the convex body BF(M), which is the unit ball of the Lipschitz-free Banach space associated with a finite metric space M. We investigate ℓ1 and ℓ∞-sums, in particular we characterize the metric spaces such that BF(M) is a Hanner polytope. We also characterize the finite metric spaces whose Lipschitz-free spaces are isometric. We

    更新日期:2020-11-27
  • Dimension of the space of unitary equivariant translation invariant tensor valuations
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-24
    K.J. Böröczky; M. Domokos; G. Solanes

    Following the work of Semyon Alesker in the scalar valued case and of Thomas Wannerer in the vector valued case, the dimensions of the spaces of continuous translation invariant and unitary equivariant tensor valuations are computed. In addition, a basis in the vector valued case is presented.

    更新日期:2020-11-27
  • On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-17
    Stefano Nardulli; Francesco G. Russo

    We study a family of geometric variational functionals introduced by Hamilton, and considered later by Daskalopulos, Sesum, Del Pino and Hsu, in order to understand the behavior of maximal solutions of the Ricci flow both in compact and noncompact complete Riemannian manifolds of finite volume. The case of dimension two has some peculiarities, which force us to use different ideas from the corresponding

    更新日期:2020-11-26
  • Quantization of subgroups of the affine group
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-10
    P. Bieliavsky; V. Gayral; S. Neshveyev; L. Tuset

    Consider a locally compact group G=Q⋉V such that V is abelian and the action of Q on the dual abelian group Vˆ has a free orbit of full measure. We show that such a group G can be quantized in three equivalent ways: (1) by reflecting across the Galois object defined by the canonical irreducible representation of G on L2(V); (2) by twisting the coproduct on the group von Neumann algebra of G by a dual

    更新日期:2020-11-26
  • On stable and finite Morse index solutions of the fractional Toda system
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-18
    Mostafa Fazly; Wen Yang

    We develop a monotonicity formula for solutions of the fractional Toda system(−Δ)sfα=e−(fα+1−fα)−e−(fα−fα−1)inRn, when 02s andΓ(n2)Γ(1+s)Γ(n−2s2)Q(Q−1)2>Γ2(n+2s4)Γ2(n−2s4). Here, Γ is the Gamma function. When Q=2, the above equation is the classical (fractional) Gelfand-Liouville equation.

    更新日期:2020-11-26
  • On the Ext2-problem for Hilbert spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-18
    Félix Cabello Sánchez; Jesús M.F. Castillo; Willian H.G. Corrêa; Valentin Ferenczi; Ricardo García

    We show that Ext2(ℓ2,ℓ2)≠0 in the category of Banach spaces. This solves a sharpened version of Palamodov's problem and provides a solution to the second order version of Palais problem. We also show that Ext2(ℓ1,K)≠0 in the category of quasi Banach spaces, which solves the four space problem for local convexity.

    更新日期:2020-11-26
  • Linear Lipschitz and C1 extension operators through random projection
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-19
    Elia Bruè; Simone Di Marino; Federico Stra

    We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and C1 functions. This way we prove more directly a result by Lee and Naor [5] and we generalize the C1 extension theorem by Whitney [8] to Banach spaces.

    更新日期:2020-11-26
  • Co-rotational chiral magnetic skyrmions near harmonic maps
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-19
    S. Gustafson; Li Wang

    Chiral magnetic skyrmions are topological solitons, of significant physical interest, arising in ferromagnets described by a micromagnetic energy including a chiral (Dzyaloshinskii-Moriya) interaction term. We show that for small chiral interaction, the skyrmions on R2 with co-rotational symmetry are close to harmonic maps, and prove precise bounds on the differences. One application of these bounds

    更新日期:2020-11-26
  • Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C1,1(Rn) with n ≥ 3
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-27
    Fa Peng; Qianyun Miao; Yuan Zhou

    Suppose that n≥3 and H(p)∈C1,1(Rn) is a locally strongly convex Hamiltonian. We obtain the everywhere differentiability of all absolute minimizers for H in any domain of Rn.

    更新日期:2020-11-25
  • Multiple nodal solutions having shared componentwise nodal numbers for coupled Schrödinger equations
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-18
    Haoyu Li; Zhi-Qiang Wang

    We investigate the structure of nodal solutions for coupled nonlinear Schrödinger equations in the repulsive coupling regime. Among other results, for the following coupled system of N equations, we prove the existence of infinitely many nodal solutions which share the same componentwise-prescribed nodal numbers(0.1){−Δuj+λuj=μuj3+∑i≠jβujui2inΩ,uj∈H0,r1(Ω),j=1,…,N, where Ω is a radial domain in Rn

    更新日期:2020-11-18
  • Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-18
    Victor Kalvin

    We present and prove Polyakov-Alvarez type comparison formulas for the determinants of Friederichs extensions of Laplacians corresponding to conformally equivalent metrics on a compact Riemann surface with conical singularities. In particular, we find how the determinants depend on the orders of conical singularities. We also illustrate these general results with several examples: based on our Polyakov-Alvarez

    更新日期:2020-11-18
  • CLT for Circular beta-Ensembles at high temperature
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-18
    Adrien Hardy; Gaultier Lambert

    We consider the macroscopic large N limit of the Circular beta-Ensemble at high temperature, and its weighted version as well, in the regime where the inverse temperature scales as β/N for some parameter β>0. More precisely, in the limit N→∞, the equilibrium measure of this particle system is described as the unique minimizer of a functional which interpolates between the relative entropy (β=0) and

    更新日期:2020-11-18
  • Quasi-greedy bases in ℓp (0 < p < 1) are democratic
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-18
    Fernando Albiac; José L. Ansorena; Przemysław Wojtaszczyk

    The list of known Banach spaces whose linear geometry determines the (nonlinear) democracy functions of their quasi-greedy bases to the extent that they end up being democratic, reduces to c0, ℓ2, and all separable L1-spaces. Oddly enough, these are the only Banach spaces that, when they have an unconditional basis, it is unique. Our aim in this paper is to study the connection between quasi-greediness

    更新日期:2020-11-18
  • Sharp polynomial bounds for certain C0-groups generated by operators with non-basis family of eigenvectors
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-18
    Grigory M. Sklyar; Vitalii Marchenko; Piotr Polak

    Sharp polynomial bounds for norms of C0-groups generated by operators with purely imaginary eigenvalues λn=iln⁡n, n∈N, and complete minimal non-basis family of eigenvectors, constructed recently by G. Sklyar and V. Marchenko in [1], are obtained. Besides, it is shown that these C0-groups do not have a maximal asymptotics. For the more general case of behaviour of the spectrum of operators we present

    更新日期:2020-11-18
  • Reachable states and holomorphic function spaces for the 1-D heat equation
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-11
    Marcu-Antone Orsoni

    The description of the reachable states of the heat equation is one of the central questions in control theory. The aim of this work is to present new results for the 1-D heat equation with boundary control on the segment [0,π]. In this situation it is known that the reachable states are holomorphic in a square D the diagonal of which is given by [0,π]. The most precise results obtained recently say

    更新日期:2020-11-12
  • On Daugavet indices of thickness
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-11
    Rainis Haller; Johann Langemets; Vegard Lima; Rihhard Nadel; Abraham Rueda Zoca

    Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior of this index and also consider two new versions of the Daugavet index of thickness, which helps us solve an open problem which connects the Daugavet indices with the Daugavet equation. Moreover, we will improve formerly known

    更新日期:2020-11-12
  • On a Class of Degenerate Abstract Parabolic Problems and Applications to Some Eddy Current Models
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-11
    Dirk Pauly; Rainer Picard; Sascha Trostorff; Marcus Waurick

    We present an abstract framework for parabolic type equations which possibly degenerate on certain spatial regions. The degeneracies are such that the equations under investigation may admit a type change ranging from parabolic to elliptic type problems. The approach is an adaptation of the concept of so-called evolutionary equations in Hilbert spaces and is eventually applied to a degenerate eddy

    更新日期:2020-11-12
  • Blow-up phenomena in nonlocal eigenvalue problems: when theories of L1 and L2 meet
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-11
    Hardy Chan; David Gómez-Castro; Juan Luis Vázquez

    We develop a linear theory of very weak solutions for nonlocal eigenvalue problems Lu=λu+f involving integro-differential operators posed in bounded domains with homogeneous Dirichlet exterior condition, with and without singular boundary data. We consider mild hypotheses on the Green function and the standard eigenbasis of the operator. The main examples in mind are the fractional Laplacian operators

    更新日期:2020-11-12
  • Finite rank perturbations of Toeplitz products on the Bergman space
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-10
    Trieu Le; Damith Thilakarathna

    In this paper we investigate when a finite sum of products of two Toeplitz operators with quasihomogeneous symbols is a finite rank perturbation of another Toeplitz operator on the Bergman space. We discover a noncommutative convolution ⋄ on the space of quasihomogeneous functions and use it in solving the problem. Our main results show that if Fj,Gj (1≤j≤N) are polynomials of z and z¯ then ∑j=1NTFjTGj−TH

    更新日期:2020-11-12
  • Inequalities for the block projection operators
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-11-10
    A. Bikchentaev; F. Sukochev

    Originally studied by Gohberg and Krein, the block projection operators admit a natural extension to the setting of quasi-normed ideals and noncommutative integration. Here, we establish several uniform submajorisation inequalities for block projection operators. We also show that in the quasi-normed setting, for Lp-spaces with 0

    更新日期:2020-11-12
  • The area minimizing problem in conformal cones, I
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-28
    Qiang Gao; Hengyu Zhou

    In this paper we study the area minimizing problem in some kinds of conformal cones. This concept is a generalization of the cones in Euclidean spaces and the cylinders in product manifolds. We define a non-closed-minimal (NCM) condition for bounded domains. Under this assumption and other necessary conditions we establish the existence of bounded minimal graphs in mean convex conformal cones. Moreover

    更新日期:2020-11-06
  • Singular solutions for the constant Q-curvature problem
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-28
    Ali Hyder; Yannick Sire

    This paper is devoted to the construction of weak solutions to the singular constant Q-curvature problem. We build on several tools developed in the last years. This is the first construction of singular metrics on closed manifolds of sufficiently large dimension with constant (positive) Q-curvature.

    更新日期:2020-11-06
  • On the ranges of bilinear pseudo-differential operators of S0,0-type on L2 × L2
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-27
    Naoki Hamada; Naoto Shida; Naohito Tomita

    In this paper, the ranges of bilinear pseudo-differential operators of S0,0-type on L2×L2 are determined in the framework of Besov spaces. Our result improves the L2×L2→L1 boundedness of those operators with symbols in the bilinear Hörmander class BS0,0m.

    更新日期:2020-11-04
  • Factorization in Denjoy-Carleman classes associated to representations of (Rd,+)
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-27
    Andreas Debrouwere; Bojan Prangoski; Jasson Vindas

    For two types of moderate growth representations of (Rd,+) on sequentially complete locally convex Hausdorff spaces (including F-representations [14]), we introduce Denjoy-Carleman classes of ultradifferentiable vectors and show a strong factorization theorem of Dixmier-Malliavin type for them. In particular, our factorization theorem solves [14, Conjecture 6.4] for analytic vectors of representations

    更新日期:2020-11-04
  • Matrix-valued Aleksandrov–Clark measures and Carathéodory angular derivatives
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-27
    Constanze Liaw; Robert T.W. Martin; Sergei Treil

    This paper deals with families of matrix-valued Aleksandrov–Clark measures {μα}α∈U(n), corresponding to purely contractive n×n matrix functions b on the unit disc of the complex plane. We do not make other apriori assumptions on b. In particular, b may be non-inner and/or non-extreme. The study of such families is mainly motivated from applications to unitary finite rank perturbation theory. A description

    更新日期:2020-11-04
  • Extremal functions for sharp Moser–Trudinger type inequalities in the whole space RN
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-27
    Van Hoang Nguyen

    In this paper, we prove the existence of maximizers for the sharp Moser–Trudinger type inequalities in whole space RN, N≥2 with more general nonlinearity. The main key in our proof is a precise estimate of the concentrating level of the Moser–Trudinger functional associated with our inequalities on the normalized concentrating sequences. This estimate solves a heavily non-trivial and open problem related

    更新日期:2020-11-04
  • Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-28
    Pascal Lefèvre; Daniel Li; Hervé Queffélec; Luis Rodríguez-Piazza

    We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of analytic functions on the unit disk D. We show that for the Hardy and Bergman spaces, our results are sharp. We also give lower and upper estimates of the singular numbers of the composition operator with symbol the “cusp map” and the lens maps, acting on weighted Dirichlet spaces.

    更新日期:2020-11-04
  • On the lacunary spherical maximal function on the Heisenberg group
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-27
    Pritam Ganguly; Sundaram Thangavelu

    In this paper we investigate the Lp boundedness of the lacunary maximal function MHnlac associated to the spherical means Arf taken over Koranyi spheres on the Heisenberg group. Closely following an approach used by M. Lacey in the Euclidean case, we obtain sparse bounds for these maximal functions leading to new unweighted and weighted estimates. The key ingredients in the proof are the Lp improving

    更新日期:2020-11-03
  • On interweaving relations
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-10-22
    Laurent Miclo; Pierre Patie

    Interweaving relations are introduced and studied here in a general Markovian setting as a strengthening of usual intertwining relations between semigroups, obtained by adding a randomized delay feature. They provide a new classification scheme of the set of Markovian semigroups which enables to transfer from a reference semigroup and up to an independent warm-up time, some ergodic, analytical and

    更新日期:2020-11-03
Contents have been reproduced by permission of the publishers.
导出
全部期刊列表>>
微生物研究
亚洲大洋洲地球科学
NPJ欢迎投稿
自然科研论文编辑
ERIS期刊投稿
欢迎阅读创刊号
自然职场,为您触达千万科研人才
spring&清华大学出版社
城市可持续发展前沿研究专辑
Springer 纳米技术权威期刊征稿
全球视野覆盖
施普林格·自然新
chemistry
物理学研究前沿热点精选期刊推荐
自然职位线上招聘会
欢迎报名注册2020量子在线大会
化学领域亟待解决的问题
材料学研究精选新
GIANT
ACS ES&T Engineering
ACS ES&T Water
屿渡论文,编辑服务
阿拉丁试剂right
上海中医药大学
清华大学
复旦大学
南科大
北京理工大学
上海交通大学
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
王鹏
武汉大学
浙江大学
天合科研
x-mol收录
试剂库存
down
wechat
bug