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  • Moser-Trudinger inequality for the complex Monge-Ampère equation
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-09-15
    Jiaxiang Wang; Xu-jia Wang; Bin Zhou

    In this paper, we prove a Moser-Trudinger type inequality for pluri-subharmonic functions vanishing on the boundary. Our proof uses a descent gradient flow for the complex Monge-Ampère functional.

    更新日期:2020-09-23
  • An inverse problem for a class of canonical systems having Hamiltonians of determinant one
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-09-16
    Masatoshi Suzuki

    We study the inverse problem of canonical systems recovering the Hamiltonian from a given function E of the Hermite–Biehler class, and solve the inverse problem under some special assumptions on E.

    更新日期:2020-09-23
  • Kinetic limit for a chain of harmonic oscillators with a point Langevin thermostat
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-09-16
    Tomasz Komorowski; Stefano Olla

    We consider an infinite chain of coupled harmonic oscillators whose Hamiltonian dynamics is perturbed by a random exchange of momentum between particles such that total energy and momentum are conserved, modeling collision between atoms. This random exchange is rarefied in the limit, that corresponds to the hypothesis that in the macroscopic unit time only a finite number of collisions takes place

    更新日期:2020-09-23
  • On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-09-09
    Patrick Gérard; Thomas Kappeler; Petar Topalov

    We investigate the spectrum of the Lax operator Lu of the Benjamin-Ono equation on the torus for complex valued potentials u in the Sobolev space H−s(T,C), 0≤s<1/2, with small imaginary part and prove analytic properties of the moment map, defined in terms of spectral data of Lu.

    更新日期:2020-09-10
  • The Fujita-Kato theorem for some Oldroyd-B model
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-09-09
    Francesco De Anna, Marius Paicu

    In this paper, we investigate the Cauchy problem associated to a system of PDEs of Oldroyd type. The considered model describes the evolution of certain viscoelastic fluids within a corotational framework. The non-corotational setting is also addressed in dimension two. We show that some widespread results concerning the incompressible Navier-Stokes equations can be extended to the considered systems

    更新日期:2020-09-09
  • Approximation of BV by SBV functions in metric spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-09-08
    Panu Lahti

    In a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we show that functions of bounded variation (BV functions) can be approximated in the strict sense and pointwise uniformly by special functions of bounded variation, without adding significant jumps. As a main tool, we study the variational 1-capacity and its BV analog.

    更新日期:2020-09-08
  • Quantitative estimates in reiterated homogenization
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-09-08
    Weisheng Niu, Zhongwei Shen, Yao Xu

    This paper investigates quantitative estimates in the homogenization of second-order elliptic systems with periodic coefficients that oscillate on multiple separated scales. We establish large-scale interior and boundary Lipschitz estimates down to the finest microscopic scale via iteration and rescaling arguments. We also obtain a convergence rate in the L2 space by the reiterated homogenization method

    更新日期:2020-09-08
  • Theorems of Ingham and Chernoff on Riemannian symmetric spaces of noncompact type
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-09-08
    Mithun Bhowmik, Sanjoy Pusti, Swagato K. Ray

    An L2 version of the celebrated Denjoy-Carleman theorem regarding quasi-analytic functions was proved by Chernoff on Rd using iterates of the Laplacian. In 1934 Ingham used the classical Denjoy-Carleman theorem to relate the decay of Fourier transform and quasi-analyticity of an integrable function on R. In this paper, we prove analogues of the theorems of Chernoff and Ingham for Riemannian symmetric

    更新日期:2020-09-08
  • Characterization of eigenfunctions of the Laplace–Beltrami operator using Fourier multipliers
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-14
    Muna Naik, Rudra P. Sarkar

    Let X be a rank one Riemannian symmetric space of noncompact type and Δ be the Laplace–Beltrami operator of X. The space X can be identified with the quotient space G/K where G is a connected noncompact semisimple Lie group of real rank one with finite center and K is a maximal compact subgroup of G. Thus G acts naturally on X by left translations. Through this identification, a function or measure

    更新日期:2020-08-14
  • A new look at the fractional Poisson problem via the logarithmic Laplacian
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-11
    Sven Jarohs, Alberto Saldaña, Tobias Weth

    We analyze the s-dependence of solutions us to the family of fractional Poisson problems(−Δ)su=fin Ω,u≡0on RN∖Ω in an open bounded set Ω⊂RN, s∈(0,1). In the case where Ω is of class C2 and f∈Cα(Ω‾) for some α>0, we show that the map (0,1)→L∞(Ω), s↦us is of class C1, and we characterize the derivative ∂sus in terms of the logarithmic Laplacian of f. As a corollary, we derive pointwise monotonicity properties

    更新日期:2020-08-11
  • A λ-convexity based proof for the propagation of chaos for weakly interacting stochastic particles
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-11
    J.A. Carrillo, M.G. Delgadino, G.A. Pavliotis

    In this work we give a proof of the mean-field limit for λ-convex potentials using a purely variational viewpoint. Our approach is based on the observation that all evolution equations that we study can be written as gradient flows of functionals at different levels: in the set of probability measures, in the set of symmetric probability measures on N variables, and in the set of probability measures

    更新日期:2020-08-11
  • Dirichlet-type spaces on the unit ball and joint 2-isometries
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-11
    Sameer Chavan, Rajeev Gupta, Md. Ramiz Reza

    We obtain a formula that relates the spherical moments of the multiplication tuple on a Dirichlet-type space to a complex moment problem in several variables. This can be seen as the ball-analogue of a formula originally invented by Richter in [23]. We capitalize on this formula to study Dirichlet-type spaces on the unit ball and joint 2-isometries.

    更新日期:2020-08-11
  • Calderón–Zygmund singular operators in extrapolation spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-11
    Vakhtang Kokilashvili, Mieczysław Mastyło, Alexander Meskhi

    We study the boundedness of the Hardy–Littlewood maximal operator in abstract extrapolation Banach function lattices and their Köthe dual spaces. The extrapolation spaces are generated by compatible families of Banach function lattices on quasi-metric measure spaces with doubling measure. These results combined with a variant of the integral Coifman–Fefferman inequality imply that every Calderón–Zygmund

    更新日期:2020-08-11
  • Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-11
    Yanlin Liu, Ping Zhang

    In this paper, we first prove the global well-posedness of 3-D anisotropic Navier-Stokes system provided that the vertical viscous coefficient of the system is sufficiently large compared to some critical norm of the initial data. Then we shall construct a family of initial data, u0,ν, which vary fast enough in the vertical variable and which can be arbitrarily large in the space BMO−1. Yet u0,ν still

    更新日期:2020-08-11
  • Propagation dynamics for monotone evolution systems without spatial translation invariance
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Taishan Yi, Xiao-Qiang Zhao

    In this paper, under an abstract setting we establish the existence of spatially inhomogeneous steady states and the asymptotic propagation properties for a large class of monotone evolution systems without spatial translation invariance. Then we apply the developed theory to study traveling waves and spatio-temporal propagation patterns for time-delayed nonlocal equations, reaction-diffusion equations

    更新日期:2020-08-06
  • Norm estimates of the Cauchy transform and related operators
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Jian-Feng Zhu, David Kalaj

    Suppose f∈Lp(D), where p≥1 and D is the unit disk. Let J0 be the integral operator defined as follows: J0[f](z)=∫Dz1−w¯zf(w)dA(w), where z, w∈D and dA(w)=1πdudv, w=u+iv, is the normalized area measure on D. Suppose J0⁎ is the adjoint operator of J0. Then J0⁎=BC, where B and C are the operators induced by the Bergman projection and Cauchy transform, respectively. In this paper, we obtain the L1, L2

    更新日期:2020-08-06
  • Group algebra criteria for vanishing of cohomology
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Uri Bader, Piotr W. Nowak

    Given a group satisfying sufficient finiteness properties, we discuss a group algebra criterion for vanishing of all its cohomology groups with unitary coefficients in a certain degree.

    更新日期:2020-08-06
  • Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Rishabh S. Gvalani, André Schlichting

    We show that the empirical process associated with a system of weakly interacting diffusion processes exhibits a form of noise-induced metastability. The result is based on an analysis of the associated McKean–Vlasov free energy, which, for suitable attractive interaction potentials, has at least two distinct global minimisers at the critical parameter value β=βc. On the torus, one of these states

    更新日期:2020-08-06
  • C*-envelopes of semicrossed products by lattice ordered abelian semigroups
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Adam Humeniuk

    A semicrossed product is a non-selfadjoint operator algebra encoding the action of a semigroup on an operator or C*-algebra. We prove that, when the positive cone of a discrete lattice ordered abelian group acts on a C*-algebra, the C*-envelope of the associated semicrossed product is a full corner of a crossed product by the whole group. By constructing a C*-cover that itself is a full corner of a

    更新日期:2020-08-06
  • Stability for product groups and property (τ)
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Adrian Ioana

    We study the notion of permutation stability (or P-stability) for countable groups. Our main result provides a wide class of non-amenable product groups which are not P-stable. This class includes the product group Σ×Λ, whenever Σ admits a non-abelian free quotient and Λ admits an infinite cyclic quotient. In particular, we obtain that the groups Fm×Zd and Fm×Fn are not P-stable, for any integers m

    更新日期:2020-08-06
  • Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Ayman Kachmar, Xing-Bin Pan

    We consider the Aharonov-Bohm magnetic potential and study the transition from normal to superconducting solutions within the Ginzburg-Landau model of superconductivity. We obtain oscillatory patterns which are consistent with the Little-Parks effect. We study also the same problem but for a regularization of the Aharonov-Bohm potential, which leads to an interesting Aharonov-Bohm like magnetic field

    更新日期:2020-08-06
  • Sobolev homeomorphic extensions onto John domains
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Pekka Koskela, Aleksis Koski, Jani Onninen

    Given the planar unit disk as the source and a Jordan domain as the target, we study the problem of extending a given boundary homeomorphism as a Sobolev homeomorphism. For general targets, this Sobolev variant of the classical Jordan-Schöenflies theorem may admit no solution - it is possible to have a boundary homeomorphism which admits a continuous W1,2-extension but not even a homeomorphic W1,1-extension

    更新日期:2020-08-06
  • Weighted estimates for the Bergman projection on the Hartogs triangle
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Zhenghui Huo, Brett D. Wick

    We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman projection on the Hartogs triangle. The estimates of the operator norm are in terms of a Bekollé-Bonami type constant. As an application of the results obtained, we give, for example, an upper bound for the Lp norm of the Bergman

    更新日期:2020-08-06
  • Spreading speeds of nonlocal KPP equations in almost periodic media
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Xing Liang, Tao Zhou

    In this paper, we investigate the spreading phenomena of the general nonlocal KPP equation in almost periodic media(⁎)ut=∫Ru(t,x−y)dμ(y)−u+a(x)u(1−u)t>0,x∈R, where μ is a probability measure on R and a is a positive almost periodic function with infx∈R⁡a(x)>0. Two constants ω+ and ω− are called the spreading speeds of (⁎) in the positive and negative directions respectively provided the following two

    更新日期:2020-08-06
  • Decay estimates for the linear damped wave equation on the Heisenberg group
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Alessandro Palmieri

    This paper is devoted to the derivation of L2 - L2 decay estimates for the solution of the homogeneous linear damped wave equation on the Heisenberg group Hn, for its time derivative and for its horizontal gradient. Moreover, we consider the improvement of these estimates when further L1(Hn) regularity is required for the Cauchy data. Our approach will rely strongly on the group Fourier transform of

    更新日期:2020-08-06
  • Model subspaces techniques to study Fourier expansions in L2 spaces associated to singular measures
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Jorge Antezana, María Guadalupe García

    Let μ be a probability measure on T that is singular with respect to the Haar measure. In this paper we study Fourier expansions in L2(T,μ) using techniques from the theory of model subspaces of the Hardy space. Since the sequence of monomials {zn}n∈N is effective in L2(T,μ), it has a Parseval frame associated via the Kaczmarz algorithm. Our first main goal is to identify the aforementioned frame with

    更新日期:2020-08-06
  • Coarse Baum-Connes conjecture and rigidity for Roe algebras
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-06
    Bruno M. Braga, Yeong Chyuan Chung, Kang Li

    In this paper, we connect the rigidity problem and the coarse Baum-Connes conjecture for Roe algebras. In particular, we show that if X and Y are two uniformly locally finite metric spaces such that their Roe algebras are ⁎-isomorphic, then X and Y are coarsely equivalent provided either X or Y satisfies the coarse Baum-Connes conjecture with coefficients. It is well-known that coarse embeddability

    更新日期:2020-08-06
  • Quasi-squares of pseudocontinuable functions
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-08-05
    Konstantin M. Dyakonov

    For an inner function θ on the unit disk, let Kθp:=Hp∩θH0p‾ be the associated star-invariant subspace of the Hardy space Hp. While the squaring operation f↦f2 maps Hp into Hp/2, one cannot expect the square f2 of a function f∈Kθp to lie in Kθp/2. (Suffice it to note that if f is a polynomial of degree n, then f2 has degree 2n rather than n.) However, we come up with a certain “quasi-squaring” procedure

    更新日期:2020-08-05
  • The IVP for a higher dimensional version of the Benjamin-Ono equation in weighted Sobolev spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-17
    Oscar G. Riaño

    We study the initial value problem associated to a higher dimensional version of the Benjamin-Ono equation. Our purpose is to establish local well-posedness results in weighted Sobolev spaces and to determinate according to them some sharp unique continuation properties of the solution flow. In consequence, optimal decay rate for this model is determined. A key ingredient is the deduction of a new

    更新日期:2020-07-17
  • Extensions of real bounded symmetric domains
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-15
    Gestur Ólafsson, Robert J. Stanton

    For a real bounded symmetric domain, G/K, we construct various natural enlargements to which several aspects of harmonic analysis on G/K and G have extensions. Our starting point is the realization of G/K as a totally real submanifold in a bounded domain Gh/Kh. We describe the boundary orbits and relate them to the boundary orbits of Gh/Kh. We relate the crown and the split-holomorphic crown of G/K

    更新日期:2020-07-15
  • On the Łojasiewicz–Simon gradient inequality on submanifolds
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-15
    Fabian Rupp

    We provide sufficient conditions for the Łojasiewicz–Simon gradient inequality to hold on a submanifold of a Banach space and discuss the optimality of our assumptions. Our result provides a tool to study asymptotic properties of quasilinear parabolic equations with (nonlinear) constraints.

    更新日期:2020-07-15
  • Hölder continuity of cumulative distribution functions for noncommutative polynomials under finite free Fisher information
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-15
    Marwa Banna, Tobias Mai

    This paper contributes to the current studies on regularity properties of noncommutative distributions in free probability theory. More precisely, we consider evaluations of selfadjoint noncommutative polynomials in noncommutative random variables that have finite non-microstates free Fisher information, highlighting the special case of Lipschitz conjugate variables. For the first time in this generality

    更新日期:2020-07-15
  • Translation operator and maximal function for the (k,1)-generalized Fourier transform
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-15
    Salem Ben Saïd, Luc Deleaval

    In this paper we study a translation operator associated with the n-dimensional (k,1)-generalized Fourier transform, where k is a multiplicity function for the Dunkl operators. In particular, we prove that the translation is a positivity-preserving operator acting on a suitable space of radial functions on Rn. We then use it to define a Hardy-Littlewood type maximal operator, where weak-type (1,1)

    更新日期:2020-07-15
  • Non-central Funk-Radon transforms: Single and multiple
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-10
    Mark Agranovsky

    We study Funk-type transforms associated with intersections of the unit sphere in Rn with lower-dimensional affine planes passing through a given point inside or outside the sphere. Our goal is to investigate injectivity of such “paired” transforms generated by two families of planes centered at distinct points. Necessary and sufficient conditions of injectivity are obtained in terms of geometry of

    更新日期:2020-07-10
  • Characters of some unitary highest weight representations via the theta correspondence
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-10
    Allan Merino

    In this article, we consider a dual pair (G,G′) in the symplectic group Sp(W) with G compact and let (G˜,G˜′) be the preimages of G and G′ in the metaplectic group Sp(W)˜. For every irreducible representation Π of G˜ appearing in Howe correspondence, we compute explicitly the restriction of the character ΘΠ′ of the associated representation Π′ of G˜′ on the set of regular points on the compact Cartan

    更新日期:2020-07-10
  • Two-dimensional Dirac operators with singular interactions supported on closed curves
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-10
    Jussi Behrndt, Markus Holzmann, Thomas Ourmières-Bonafos, Konstantin Pankrashkin

    We study the two-dimensional Dirac operator with a class of interface conditions along a smooth closed curve, which model the so-called electrostatic and Lorentz scalar interactions of constant strengths, and we provide a rigorous description of their self-adjoint realizations and their qualitative spectral properties. We are able to cover in a uniform way all so-called critical combinations of coupling

    更新日期:2020-07-10
  • Estimates on the Markov convexity of Carnot groups and quantitative nonembeddability
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-10
    Chris Gartland

    We show that every graded nilpotent Lie group G of step r, equipped with a left invariant metric homogeneous with respect to the dilations induced by the grading, (this includes all Carnot groups with Carnot-Caratheodory metric) is Markov p-convex for all p∈[2r,∞). We also show that this is sharp whenever G is a Carnot group with r≤3, a free Carnot group, or a jet space group; such groups are not Markov

    更新日期:2020-07-10
  • Lie-Schwinger block-diagonalization and gapped quantum chains: Analyticity of the ground-state energy
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-10
    S. Del Vecchio, J. Fröhlich, A. Pizzo, S. Rossi

    We consider quantum chains whose Hamiltonians are perturbations by interactions of short range of a Hamiltonian that does not couple the degrees of freedom located at different sites of the chain and has a strictly positive energy gap above its ground-state energy. For interactions that are form-bounded w.r.t. the on-site Hamiltonian terms, we have proven that the spectral gap of the perturbed Hamiltonian

    更新日期:2020-07-10
  • Stationary scattering theory for unitary operators with an application to quantum walks
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-09
    R. Tiedra de Aldecoa

    We present a general account on the stationary scattering theory for unitary operators in a two-Hilbert spaces setting. For unitary operators U0,U in Hilbert spaces H0,H and an identification operator J:H0→H, we give the definitions and collect properties of the stationary wave operators, the strong wave operators, the scattering operator and the scattering matrix for the triple (U,U0,J). In particular

    更新日期:2020-07-09
  • Analytic P-ideals and Banach spaces
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-09
    Piotr Borodulin-Nadzieja, Barnabás Farkas

    We study the interplay between Banach space theory and theory of analytic P-ideals. Applying the observation that, up to isomorphism, all Banach spaces with unconditional bases can be constructed in a way very similar to the construction of analytic P-ideals from submeasures, we point out numerous symmetries between the two theories. Also, we investigate a special case, the interactions between combinatorics

    更新日期:2020-07-09
  • Uniqueness of solutions of the KdV-hierarchy via Dubrovin-type flows
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-07-09
    Milivoje Lukić, Giorgio Young

    We consider the Cauchy problem for the KdV hierarchy – a family of integrable PDEs with a Lax pair representation involving one-dimensional Schrödinger operators – under a local in time boundedness assumption on the solution. For reflectionless initial data, we prove that the solution stays reflectionless. For almost periodic initial data with absolutely continuous spectrum, we prove that under Craig-type

    更新日期:2020-07-09
  • Notes on the Chernoff product formula
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-25
    Valentin A. Zagrebnov

    We revise the strong convergent Chernoff product formula and extend it, in a Hilbert space, to convergence in the operator-norm topology. Main results deal with the self-adjoint Chernoff product formula. The non-self-adjoint case concerns the quasi-sectorial contractions.

    更新日期:2020-06-25
  • Sobolev-type inequalities for Dunkl operators
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-17
    Andrei Velicu

    In this paper we study the Sobolev inequality in the Dunkl setting using two new approaches which provide a simpler elementary proof of the classical case p=2, as well as an extension to the coefficient p=1 that was previously unknown. We also find estimates of the sharp constants for the Sobolev inequality for Dunkl gradient. Related inequalities and some improvements are also considered (Nash inequality

    更新日期:2020-06-17
  • The Cuntz–Toeplitz algebras have nuclear dimension one
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-17
    Philip Easo, Esperanza Garijo, Sarunas Kaubrys, David Nkansah, Martin Vrabec, David Watt, Cameron Wilson, Christian Bönicke, Samuel Evington, Marzieh Forough, Sergio Girón Pacheco, Nicholas Seaton, Stuart White, Michael F. Whittaker, Joachim Zacharias

    We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.

    更新日期:2020-06-17
  • Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-17
    Martin Dindoš, Jill Pipher

    In this paper, we prove an extrapolation result for complex coefficient divergence form operators that satisfy a strong ellipticity condition known as p-ellipticity. Specifically, let Ω be a chord-arc domain in Rn and the operator L=∂i(Aij(x)∂j)+Bi(x)∂i be elliptic, with |Bi(x)|≤Kδ(x)−1 for a small K. Let p0=sup⁡{p>1:Aisp-elliptic}. We establish that if the Lq Dirichlet problem is solvable for L for

    更新日期:2020-06-17
  • A priori estimates for D4 and F4 Toda systems
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-17
    Debabrata Karmakar, Chang-Shou Lin, Zhaohu Nie

    In this article we establish the a priori bounds of the Toda systems with arbitrarily many singular sources associated to the simple Lie algebras of type D4 and F4, extending the previous works of Lin et al. [27], [20], [24] for the An,Bn,Cn and G2 type Lie algebras. The problem of obtaining a priori estimates can be reduced to locating the local mass of blowup solutions. The key step is to calculate

    更新日期:2020-06-17
  • Uniqueness of solutions to Lp-Christoffel-Minkowski problem for p < 1
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-17
    Li Chen

    Lp-Christoffel-Minkowski problem arises naturally in the Lp-Brunn-Minkowski theory. It connects both curvature measures and area measures of convex bodies and is a fundamental problem in convex geometric analysis. Since the lack of Firey's extension of Brunn-Minkowski inequality and constant rank theorem for p<1, the existence and uniqueness of Lp-Brunn-Minkowski problem are difficult problems. In

    更新日期:2020-06-17
  • Self-improvement of weighted pointwise inequalities on open sets
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-17
    Sylvester Eriksson-Bique, Juha Lehrbäck, Antti V. Vähäkangas

    We prove a general self-improvement property for a family of weighted pointwise inequalities on open sets, including pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of p-Poincaré and p-Hardy weights for an open set Ω⊂X, where X is a metric measure space. We also apply the self-improvement of weighted pointwise Hardy inequalities in connection

    更新日期:2020-06-17
  • On invertible elements in reduced C⁎-algebras of acylindrically hyperbolic groups
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-17
    M. Gerasimova, D. Osin

    Let G be an acylindrically hyperbolic group. We prove that if G has no non-trivial finite normal subgroups, then the set of invertible elements is dense in the reduced C⁎-algebra of G. The same result is obtained for finite direct products of acylindrically hyperbolic groups.

    更新日期:2020-06-17
  • Estimating Dixmier traces of Hankel operators in Lorentz ideals
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-17
    Magnus Goffeng, Alexandr Usachev

    In this paper we study Dixmier traces of powers of Hankel operators in Lorentz ideals. We extend results of Engliš-Zhang to the case of powers p≥1 and general Lorentz ideals starting from abstract extrapolation results of Gayral-Sukochev. In the special case p=2,4,6 we give an exact formula for the Dixmier trace. For general p, we give upper and lower bounds on the Dixmier trace. We also construct

    更新日期:2020-06-17
  • Regularity of the centered fractional maximal function on radial functions
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-15
    David Beltran, José Madrid

    We study the regularity properties of the centered fractional maximal function Mβ. More precisely, we prove that the map f↦|∇Mβf| is bounded and continuous from W1,1(Rd) to Lq(Rd) in the endpoint case q=d/(d−β) if f is a radial function. For d=1, the radiality assumption can be removed. This corresponds to the counterparts of known results for the non-centered fractional maximal function. The main

    更新日期:2020-06-15
  • Approximation of the average of some random matrices
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-15
    Grigory Ivanov, Márton Naszódi, Alexandr Polyanskii

    Rudelson's theorem states that if for a set of unit vectors ui and positive weights ci, we have that ∑ciui⊗ui is the identity operator I on Rd, then the sum of a random sample of Cdln⁡d of these diadic products is close to I. The ln⁡d term cannot be removed. On the other hand, the recent fundamental result of Batson, Spielman and Srivastava and its improvement by Marcus, Spielman and Srivastava show

    更新日期:2020-06-15
  • Boundedness properties in a family of weighted Morrey spaces with emphasis on power weights
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-15
    Javier Duoandikoetxea, Marcel Rosenthal

    We define a scale of weighted Morrey spaces which contains different versions of weighted spaces appearing in the literature. This allows us to obtain weighted estimates for operators in a unified way. In general, we obtain results for weights of the form |x|αw(x) with w∈Ap and nonnegative α. We study particularly some properties of power-weighted spaces and in the case of the Hardy-Littlewood maximal

    更新日期:2020-06-15
  • On the spectra of a class of self-affine measures on R2
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-15
    Zhi-Min Wang

    For i∈{1,2}, let 0<|ρi|<1. For an expanding real matrix M=diag[ρ1−1,ρ2−1] and a three-element digit set D⊂Z2 with cardinality |D|, let μM,D be the self-affine measure defined by μM,D(⋅)=1|D|∑d∈DμM,D(M(⋅)−d). Let F32:=13{(l1,l2)t:l1,l2∈N+,0

    更新日期:2020-06-15
  • Schur multipliers of Schatten–von Neumann classes Sp
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-05
    A.B. Aleksandrov, V.V. Peller

    We study in this paper properties of Schur multipliers of Schatten von Neumann classes Sp. We prove that for p≤1, Schur multipliers of Sp are necessarily completely bounded. We also introduce for p≤1 a scale Wp of tensor products of ℓ∞ and prove that matrices in Wp are Schur multipliers of Sp. We compare this sufficient condition with the sufficient condition of membership in the p-tensor product of

    更新日期:2020-06-05
  • The triangle averaging operator
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-02
    Eyvindur A. Palsson, Sean R. Sovine

    We examine the averaging operator T corresponding to the manifold in R2d of pairs of points (u,v) satisfying |u|=|v|=|u−v|=1, so that {0,u,v} is the set of vertices of an equilateral triangle. We establish Lp×Lq→Lr boundedness for T for (1/p,1/q,1/r) in the convex hull of the set of points {(0,0,0),(1,0,1),(0,1,1),(1/pd,1/pd,2/pd)}, where pd=5d3d−2.

    更新日期:2020-06-02
  • Calderón-Zygmund estimates for generalized double phase problems
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-02
    Sumiya Baasandorj, Sun-Sig Byun, Jehan Oh

    We prove Calderón-Zygmund type estimates for distributional solutions to non-uniformly elliptic equations of generalized double phase type in divergence form. In particular, we provide sharp conditions on the nonlinear operators to establish the Calderón-Zygmund type estimates.

    更新日期:2020-06-02
  • Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-02
    Jean-Baptiste Casteras, Christos Sourdis

    We consider strongly coupled competitive elliptic systems that arise in the study of two-component Bose-Einstein condensates. As the coupling parameter tends to infinity, solutions that remain uniformly bounded are known to converge to a segregated limiting profile, with the difference of its components satisfying a limit scalar PDE. In the case of radial symmetry, under natural non-degeneracy assumptions

    更新日期:2020-06-02
  • Injectivity almost everywhere for weak limits of Sobolev homeomorphisms
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-02
    Ondřej Bouchala, Stanislav Hencl, Anastasia Molchanova

    Let Ω⊂Rn be an open set and let f∈W1,p(Ω,Rn) be a weak (sequential) limit of Sobolev homeomorphisms. Then f is injective almost everywhere for p>n−1 both in the image and in the domain. For p≤n−1 we construct a strong limit of homeomorphisms such that the preimage of a point is a continuum for every point in a set of positive measure in the image and the topological image of a point is a continuum

    更新日期:2020-06-02
  • Geometric Hardy's inequalities with general distance functions
    J. Funct. Anal. (IF 1.496) Pub Date : 2020-06-02
    Nguyen Lam, Guozhen Lu, Lu Zhang

    We establish in this paper general geometric Hardy's identities and inequalities on domains in RN in the spirit of their celebrated works by Brezis-Vázquez and Brezis-Marcus. Hardy's identities are powerful tools in establishing more precise and significantly stronger inequalities than those Hardy's inequalities in the literature. More precisely, we use the notion of Bessel pairs introduced by Ghoussoub

    更新日期:2020-06-02
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