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Fractal Dimension of $$\alpha $$ -Fractal Functions Without Endpoint Conditions Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-18
Abstract In this article, we manifest the existence of a new class of \(\alpha \) -fractal functions without endpoint conditions in the space of continuous functions. Furthermore, we add the existence of the same class in numerous spaces such as the Hölder space, the convex Lipschitz space, and the oscillation space. We also estimate the fractal dimensions of the graphs of the newly constructed \(\alpha
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On Spatial Mechanisms in Lorentzian 3-Space Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-15
Abstract Let \(L^{4}\) be a 4-dimensional Lorentzian space with the sign (−,+,+,+). The aim of this study is to investigate the other missing algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in \(L^{4}\) . For this purpose, firstly, we obtain the structure equations of a spatial open chain using the equations of open chains of the Lorentz plane and Lorentz sphere. After
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Ricci–Bourguignon Soliton on Three-Dimensional Contact Metric Manifolds Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-15 Mohan Khatri, Jay Prakash Singh
This paper aims to classify a certain type of three-dimensional complete non-Sasakian contact manifold with specific properties, namely \(Q\xi =\sigma \xi \) and admitting Ricci–Bourguignon solitons. In the case of constant \(\sigma \), the paper proves that if the potential vector field of the Ricci–Bourguignon soliton is orthogonal to the Reeb vector field, then the manifold is either Einstein or
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Finite Groups All of Whose Subgroups are $$\mathbb {P}$$ -Subnormal or $${{\,\textrm{TI}\,}}$$ -Subgroups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-15 A. Ballester-Bolinches, S. F. Kamornikov, V. Pérez-Calabuig, X. Yi
Let \(\mathbb {P}\) be the set of all prime numbers. A subgroup H of a finite group G is said to be \(\mathbb {P}\)-subnormal in G if there exists a chain of subgroups $$\begin{aligned} H = H_0 \subseteq H_1 \subseteq \cdots \subseteq H_{n-1} \subseteq H_n = G \end{aligned}$$ such that either \(H_{i-1}\) is normal in \(H_i\) or \(|H_i{:}\, H_{i-1}|\) is a prime number for every \(i = 1, 2, \ldots
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Solutions of the Yang–Baxter Equation and Strong Semilattices of Skew Braces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-15 Francesco Catino, Marzia Mazzotta, Paola Stefanelli
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Pseudo-Ricci–Yamabe Soliton Real Hypersurfaces in the Complex Two-Plane Grassmannians Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-14 Young Jin Suh
In this paper, we want to give a complete classification of Hopf real hypersurfaces in the complex two-plane Grassmannian \(G_2({{\mathbb {C}}}^{m+2})\) satisfying a pseudo-Ricci–Yamabe soliton if we use the notion of pseudo-anti commuting Ricci tensor. In addition to this one, we have proved that a real hypersurface with isometric Reeb flow in the complex two-plane Grassmannian \(G_2({{\mathbb {C}}}^{m+2})\)
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Maximal Ideals of Generalized Summing Linear Operators Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-13 Geraldo Botelho, Jamilson R. Campos, Lucas Nascimento
We prove when a Banach ideal of linear operators defined, or characterized, by the transformation of vector-valued sequences is maximal. Known results are recovered as particular cases and new information is obtained. To accomplish this task, we study a tensor quasi-norm determined by the underlying sequence classes. The duality theory for these tensor quasi-norms is also developed.
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On Global Solution for a Class of p(x)-Laplacian Equations with Logarithmic Nonlinearity Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-12 Quach Van Chuong, Le Cong Nhan, Le Xuan Truong
In this paper, we consider a class of p(x)-Laplacian equations with logarithmic source terms. Using the potential well method combined with the Nehari manifold, we prove some results on the global existence and blow-up of weak solutions in the subcritical case. Moreover, we also obtain decay estimates for the global weak solutions. Otherwise, we give an upper bound for the maximal existence time of
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Criteria of a Four-Weight Weak Type Inequality for One-Sided Maximal Operators in Orlicz Classes Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-12 Yanbo Ren, Jing Wang
In this paper, some necessary and sufficient conditions for a weighted weak type inequality of the form $$\begin{aligned}&\int _{\{ {{M_g^ + (f) > \lambda }\}}} {\varphi (\lambda {\omega _1}(x))} {\omega _2}(x)g(x)\mathrm{{d}}x \\&\quad \le {C_1}\int _{ - \infty }^{ + \infty } {\varphi ({C_1} |{f(x)}|{\omega _3}(x)){\omega _4}(x)g(x)\mathrm{{d}}x} \end{aligned}$$ to hold are obtained, which generalize
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A Positive Solution for a Weighted Anisotropic p-Laplace Equation Involving Vanishing Potential Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-09 A. Razani, Gustavo S. Costa, Giovany M. Figueiredo
Here, a weighted anisotropic p-Laplace equation $$\begin{aligned} -\Delta _{a\overrightarrow{p}}u+V(x)|x|^{-ap^*}|u|^{p^+-2}u=f(u), \end{aligned}$$ in \(\mathbb {R}^N\) is considered where \(\Delta _{a\overrightarrow{p}}u:=\sum _{i=1}^N\frac{\partial }{\partial x_i}\left( |x|^{-ap_i} \left| \frac{\partial u}{\partial x_i}\right| ^{p_i-2}\frac{\partial u}{\partial x_i}\right) \), the potential V can
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A Topological Theory for Unoriented SL(4) Foams Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-09 Mikhail Khovanov, Józef H. Przytycki, Louis-Hadrien Robert, Marithania Silvero
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On the Partial $$ \Pi $$ -Property of Some Subgroups of Prime Power Order of Finite Groups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-09
Abstract Let H be a subgroup of a finite group G. We say that H satisfies the partial \( \Pi \) -property in G if there exists a chief series \( \varGamma _{G}: 1 =G_{0}< G_{1}< \cdots < G_{n}= G \) of G such that for every G-chief factor \( G_{i}/G_{i-1} (1\le i\le n) \) of \( \varGamma _{G} ,\) \( | G / G_{i-1}: N _{G/G_{i-1}} (HG_{i-1}/G_{i-1}\cap G_{i}/G_{i-1})| \) is a \( \pi (HG_{i-1}/G_{i-1}\cap
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Couplings of Operators with Two-Isometries in Three-Isometric Liftings Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-09
Abstract The operators T on a Hilbert space \({\mathcal {H}}\) which have 3-isometric liftings S on Hilbert spaces \({\mathcal {K}}\) containing \({\mathcal {H}}\) are investigated. Here, we deal with the liftings S which are 2-isometries on their invariant subspace \({\mathcal {K}}\ominus {\mathcal {H}}\) and also have this subspace invariant for \(S^*S\) . Several characterizations for such operators
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Abstract Differential Equations and $$L^{q,\alpha } $$ -Hölder Functions Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-07 Eduardo Hernandez, Lucas Lisboa, Denis Fernandes
We introduce the class of \(L^{q,\alpha }\)-Hölder functions and study the local and global existence and uniqueness of solution for abstract evolution differential equations assuming that the non-linear term is a \(L^{q,\alpha }\)-Hölder function. In the last section, some examples with applications to partial differential equations are presented.
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Expansivity and Contractivity of Toeplitz Operators on Newton Spaces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-06 Eungil Ko, Ji Eun Lee, Jongrak Lee
The Newton space \(N^2({{\mathbb {H}}})\) has Newton polynomials as an orthonormal basis. In this paper, we study some properties of Newton polynomials. Using these results, we investigate properties of expansive and contractive Toeplitz operators with analytic and co-analytic symbols on a Newton space.
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Chasing Maximal Pro-p Galois Groups via 1-Cyclotomicity Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-04 Claudio Quadrelli
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Finite Groups with Permuteral Primary Subgroups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-01 Victor Monakhov, Irina Sokhor
Let H be a subgroup of a group G. The permutizer \(P_G(H)\) is the subgroup generated by all cyclic subgroups of G which permute with H. A subgroup H of a group G is strongly permuteral in G if \(P_U(H)=U\) for every subgroup U of G, such that \(H\le U\le G\). We investigate groups with \(\mathbb {P}\)-subnormal or strongly permuteral Sylow subgroups. Moreover, we prove that groups with all strongly
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Complex Resonance Behaviors of Weak Nonlinear Duffing-van der Pol Systems Under Multi-frequency Excitation Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-26 Nannan Wang, Songlin Chen
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A Novel Fitted Three Term Method for the Numerical Treatment of Singularly Perturbed Differential–Difference Equations Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-26 Rakesh Ranjan, Hari Shankar Prasad, Gashu Gadisa Kiltu
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On the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-26 Faiza Shabbir, Muhammad Asad Zaighum
In this paper, grand Herz–Hardy spaces with variable exponent is introduced. We prove the atomic decomposition of grand Herz–Hardy spaces with variable exponent. As an application we prove the boundedness of sublinear operators on grand Herz–Hardy spaces with variable exponent.
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Singular Type Trudinger–Moser Inequalities with Logarithmic Weights and the Existence of Extremals Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-21
Abstract In this paper, we study the existence of extremals for the following singular critical Trudinger–Moser inequality with logarithmic weights: $$\begin{aligned} \underset{u\in W_{0,r}^{{\small 1},n}(B,\omega _{\beta }),\left\| u\right\| _{\omega _{\beta }}\le 1}{\sup }\int _{B}\frac{\exp \big ( \alpha _{n,\beta ,\sigma }\left| u\right| ^{\frac{n}{\left( n-1\right) \left( 1-\beta \right) }}\big
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Generalized Fourier Multipliers via Mittag-Leffler Functions Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-20
Abstract A Fourier multiplier related to Mittag-Leffler function is introduced. We prove that our multiplier is radial on \({\mathbb {R}} ^{n}\) and generalizes the Bessel function. Furthermore, we study the \(L^{2}\) boundedness of the related Mittag-Leffler maximal function, the Littlewood–Paley g-function, and the discrete singular integral operator. We prove that the three operators are bounded
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Spectral Projection Methods for Derivative Dependent Hammerstein Equations with Green’s Kernels Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-19 Chafik Allouch, Kapil Kant, Ritu Nigam
This article proposes projection methods using polynomials for solving nonlinear Hammerstein equations with first derivative dependency and with a Green’s function type kernel. We analyze the convergence analysis of Galerkin and collocation methods with their iterated versions and show that the order of convergence in the iterated projection method improves over the projection method. Orthogonal projection
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A Necessary Condition on a Singular Kernel for the Continuity of an Integral Operator in Hölder Spaces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-19
Abstract We prove that a condition of boundedness of the maximal function of a singular integral operator, that is known to be sufficient for the continuity of a corresponding integral operator in Hölder spaces, is actually also necessary in case the action of the integral operator does not decrease the regularity of a function. We do so in the frame of metric measured spaces with a measure satisfying
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Anisotropic (p, q)-Equations with Asymmetric Reaction Term Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-15 Zhenhai Liu, Nikolaos S. Papageorgiou
We consider a Dirichlet problem driven by the anisotropic (p, q)-Laplacian (double phase problem) and with a reaction term which exhibits asymmetric behavior as \(x\rightarrow \pm \infty \). Using variational tools, truncation, and comparison techniques and critical groups, we prove a multiplicity theorem producing four nontrivial solutions all with sign information and ordered.
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Entire Monogenic Functions of Given Proximate Order and Continuous Homomorphisms Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-15 Fabrizio Colombo, Rolf Soeren Krausshar, Stefano Pinton, Irene Sabadini
Infinite order differential operators appear in different fields of mathematics and physics. In the past decade they turned out to play a crucial role in the theory of superoscillations and provided new insight in the study of the evolution as initial data for the Schrödinger equation. Inspired by the infinite order differential operators arising in quantum mechanics, in this paper we investigate the
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Symmetric q-Dunkl-Coherent Pairs Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-15 Jihad Souissi, Mohamed Khalfallah
In this work, we introduce the notion of a q-Dunkl-coherent pair of linear functionals in the symmetric case. We prove that if (u, v) is a q-Dunkl-symmetrically coherent pair of form, then at least one of them must be a q-Dunkl-classical form. Examples related to the \(q^2\)-analog of generalized Hermite and the \(q^2\)-analog of generalized Gegenbauer forms are given.
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S-Prime Ideals, S-Noetherian Noncommutative Rings, and the S-Cohen’s Theorem Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-14 Alaa Abouhalaka
Let S be an m-system of a ring R. This paper presents the notion of a right S-prime ideal into noncommutative rings and provides some properties and equivalent definitions. We define a right S-idempotent ideal and an S-totally ordered set, and we show that every ideal of R is a right S-idempotent ideal, and the set of ideals in R is S-totally ordered if and only if every ideal in R is a right S-prime
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Cohomology and Deformations of Compatible Lie Triple Systems Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-12 Xinyue Wang, Yao Ma, Liangyun Chen
In this paper, we first introduce the notions of a compatible Lie triple system and its representation. We construct a bidifferential graded Lie algebra whose Maurer–Cartan elements are compatible Lie triple systems. We also obtain the bidifferential graded Lie algebra which controls deformations of a compatible Lie triple system. Then we investigate the cohomology theory of compatible Lie triple systems
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Generalized Stević–Sharma Type Operators on Spaces of Fractional Cauchy Transforms Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-05 Ebrahim Abbasi, Mostafa Hassanlou
Let \({\mathbb {D}}=\{z \in {\mathbb {C}}: |z| < 1 \}\) and \(\alpha >0\). Let \({\mathcal {F}}_{\alpha }\) be the collection of all holomorphic functions defined for \(z\in {\mathbb {D}}\) by integrating the kernel \((1-\overline{\zeta }z)^{-\alpha }\) against a complex valued measure on the \({\mathbb {T}} = \partial {\mathbb {D}}\). Considering the generalized Stevic–Sharma type operator on \({\mathcal
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Transference and Restriction of Bilinear Fourier Multipliers on Orlicz Spaces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-05 Oscar Blasco, Rüya Üster
Let G be a locally compact abelian group with Haar measure \(m_G\) and let \(\Phi _i\), \(i=1,2,3\), be Young functions. A bounded measurable function m on \(G\times G\) is a \((\Phi _1,\Phi _2;\Phi _3)\)-bilinear multiplier if there exists \(C>0\) such that the bilinear map $$\begin{aligned} B_m (f,g)(\gamma )= \int _{G}\int _{G} m(x,y) {{\hat{f}}}(x) {{\hat{g}}}(y) \gamma (x+y) dm_G(x)dm_G(y), \end{aligned}$$
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Khinchin Families, Set Constructions, Partitions and Exponentials Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-01 Alicia Cantón, José L. Fernández, Pablo Fernández, Víctor J. Maciá
In this paper, we give a simple criterion to verify that functions of the form \(e^g\) are in the Hayman class when g is a power series with nonnegative coefficients. Thus, using the Hayman and Báez-Duarte formulas, we obtain asymptotics for the coefficients of generating functions that arise in many examples of set construction in analytic combinatorics. This new criterion greatly simplifies the one
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New Results for Fractional Hamiltonian Systems Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-01
Abstract In this paper, we study the multiplicity of weak nonzero solutions for the following fractional Hamiltonian systems: $$\begin{aligned} \left\{ \begin{array}{ll} { }_{t} D_{\infty }^{\alpha }\left( _{-\infty } D_{t}^{\alpha } u(t)\right) -L(t)u +\lambda u+ \nabla W(t,u) = 0, &{} \\ u\in H^{\alpha }({\mathbb {R}},{\mathbb {R}}^N),\;\;t\in {\mathbb {R}}, &{} \end{array} \right. \end{aligned}$$
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Orthogonal Polynomials on a Planar Quartic Curve Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-29 Phung Van Manh
The orthogonal structure in two variables on the quartic curve \(y^2=a x^4+bx^2+c\) is considered. For an even weight function on the curve, we show that orthogonal polynomials can be expressed in terms of two families of orthogonal polynomials in one variable. We establish relationships between the partial Fourier sum on the curve and partial Fourier sums in one variable. We also investigate the quadrature
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Distribution Generated by a Random Inhomogenous Fibonacci Sequence Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-24 Kálmán Liptai, László Szalay
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Solvability for a Higher Order Implicit Fractional Multi-point Boundary Value Problems at Resonance Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-22 Wei Zhang, Xinyu Fu
In this work, we show the existence of solutions for a higher order implicit fractional differential equations with multi-point boundary conditions at resonance. Our results are obtained by utilizing the (Kuratovski) measure of non-compactness and abstract continuation theorem for k-set contractions. Finally, an example is given to illustrate the applicability of theoretical result.
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Further Properties of an Operator Commuting with an Injective Quasi-Nilpotent Operator Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-13 Pietro Aiena, Fabio Burderi, Salvatore Triolo
In (Aiena et al., Math. Proc. R. Irish Acad. 122A(2):101–116, 2022), it has been shown that a bounded linear operator \(T\in L(X)\), defined on an infinite-dimensional complex Banach space X, for which there exists an injective quasi-nilpotent operator that commutes with it, has a very special structure of the spectrum. In this paper, we show that we have much more: if a such quasi-nilpotent operator
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Characterization of Lipschitz Functions on Ball Banach Function Spaces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-09 Müjdat Ağcayazi, Pu Zhang
Our goal is to characterize the Lipschitz functions by ball Banach function space. We give some necessary and sufficient conditions of the boundedness of the maximal commutators, commutators of the Hardy–Littlewood maximal operators and commutators of the sharp maximal operators when the symbol b belongs to Lipschitz (Campanato) spaces. In light of the results to be obtained, some applications in ball
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Littlewood–Paley Functions Under Sharp Kernel Conditions Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-11 Shuichi Sato
We prove \(L^p\)-estimates for Littlewood–Paley functions under sharp kernel conditions without assuming compactness of support by applying extrapolation arguments.
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The Square-Free Hypothesis on Co-degrees of Irreducible Characters Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-10 Jiakuan Lu, Hangyang Meng
Let G be a finite group and N be a normal subgroup of G. Denote by \({{\,\textrm{Irr}\,}}(G|N)\) the set of all irreducible complex characters of G whose kernels do not contain N. For \(\chi \in {{\,\textrm{Irr}\,}}(G)\), the number \({{\,\textrm{cod}\,}}(\chi )=|G:\textrm{ker}(\chi )|/\chi (1)\) is called the co-degree of \(\chi \). In this paper, we prove that if, for each pair \(\chi , \phi \in
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A Note on Secant-Defective Varieties and Clifford Modules Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-08 Oliver Nash
We generalise a construction of Landsberg, which associates certain Clifford algebra representations to Severi varieties. We thus obtain a new proof of Russo’s Divisibility Property for LQEL varieties whose secant varieties do not fill the ambient space. We also make an observation about the question of whether there exists a smooth, irreducible, non-degenerate, projective variety with secant deficiency
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Energy Scattering for Non-radial Inhomogeneous Fourth-Order Schrödinger Equations Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-09 Tarek Saanouni, Binhua Feng
It is the goal of this manuscript to establish the scattering of global solutions to the following bi-harmonic Schrödinger equation, in the focusing inter-critical regime, with non-radial datum $$\begin{aligned} i\dot{u}+\Delta ^2 u+F(x,u)=0. \end{aligned}$$ Here, the inhomogeneous source may be local \(F(x,u)=|x|^{-2\rho }|u|^{2(q-1)}u\) or non-local \(F(x,u)=|x|^{-\rho }(J_\gamma *|\cdot |^{-\rho
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Durfee Rectangle Identities via Symmetric Functions Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-06 Cristina Ballantine, Mircea Merca
In this paper, we provide an analytic proof of Cauchy’s Durfee square identity using specializations of complete and elementary symmetric functions. We generalize Cauchy’s identity to Durfee rectangle identities for which we provide combinatorial proofs.
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A-Spectral Permanence Property for $$C^*$$ -Algebras Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-03 Mohamed Mabrouk, Ali Zamani
For a positive element A of a \(C^*\)-algebra \(\mathfrak {A}\), let \({\Vert X\Vert }_{A}\) denote the A-operator semi-norm of \(X\in \mathfrak {A}\). In this paper, we aim to introduce and study the notion of A-spectrum for X, such that \({\Vert X\Vert }_{A}<\infty \). In particular, when A is well supported, we establish an A-spectral permanence property for \(C^*\)-algebras.
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Complete Nonsingular Holomorphic Foliations on Stein Manifolds Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-03 Antonio Alarcón, Franc Forstnerič
Abstract Let X be a Stein manifold of complex dimension \(n>1\) endowed with a Riemannian metric \({\mathfrak {g}}\) . We show that for every integer k with \(\left[ \frac{n}{2}\right] \le k \le n-1\) there is a nonsingular holomorphic foliation of dimension k on X all of whose leaves are closed and \({\mathfrak {g}}\) -complete. The same is true if \(1\le k<\left[ \frac{n}{2}\right] \) provided that
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Closed Formulas for the Independent (Roman) Domination Number of Rooted Product Graphs Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-27 Abel Cabrera-Martínez, Juan Manuel Rueda-Vázquez
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Bohr Inequalities for Certain Classes of Harmonic Mappings Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-21 Molla Basir Ahamed, Sabir Ahammed
Bohr’s classical theorem and its generalizations are now active areas of research and have been the source of investigations in numerous function spaces. For harmonic mappings of the form \( f=h+\overline{g} \), we obtain an improved version of Bohr inequality for K-quasiregular harmonic mappings in the shifted disk \( \Omega _{\gamma }=\{z\in \mathbb {C}: |z+\frac{\gamma }{1-\gamma }|<\frac{1}{1-\gamma
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Weakly Coupled Systems of Semi-linear Fractional $$\sigma $$ -Evolution Equations with Mass and Different Power Nonlinearities Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-21 Abdelatif Kainane Mezadek
In this paper, we are interested to study the global (in time) existence of small data Sobolev solutions to the Cauchy problem for weakly coupled systems of semi-linear fractional \(\sigma \)-evolution equations with mass and different power nonlinearities. Using \(L^r-L^q\) estimates of Sobolev solutions to related linear models with vanishing right-hand side, we explain connections between regularity
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Fixed Points of Automorphisms of the Vector Bundle Moduli Space Over a Compact Riemann Surface Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-19 Álvaro Antón-Sancho
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Derivative of Certain Stochastic Integrals with Anticipating Integrands Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-15 Marc Jornet
We investigate whether an analogue of the fundamental theorem of calculus holds for the Ayed–Kuo stochastic integral. This integral was defined for anticipating processes \(\phi =\{\phi _t:t\in [a,b]\}\) of the form \(\phi _t=h_t\psi _t\), where h is adapted and \(\psi \) is instantly independent with respect to the forward filtration of Brownian motion B. If \(Y_t=\int _a^t \phi _s\text {d}B_s\),
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The Modular Isomorphism Problem and Abelian Direct Factors Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-14 Diego García-Lucas
Let p be a prime and let G be a finite p-group. We show that the isomorphism type of the maximal abelian direct factor of G, as well as the isomorphism type of the group algebra over \({{\mathbb {F}}}_p\) of the non-abelian remaining direct factor, if existing, are determined by \({{\mathbb {F}}}_p G\), generalizing the main result in Margolis et al. (Abelian invariants and a reduction theorem for
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Locally Convex Bialgebroid of an Action Lie Groupoid Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-08 J. Kališnik
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Jacobian Schemes of Conic-Line Arrangements and Eigenschemes Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-08 Valentina Beorchia, Rosa M. Miró-Roig
The Jacobian scheme of a reduced, singular projective plane curve is the zero-dimensional scheme, whose homogeneous ideal is generated by the partials of its defining polynomial. The degree of such a scheme is called the global Tjurina number and, if the curve is not a set of concurrent lines, some upper and lower bounds depending on the degree of the curve and the minimal degree of a Jacobian syzygy
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Artin’s Theorem on Alternative Rings Mediterr. J. Math. (IF 1.1) Pub Date : 2023-12-07 Bruno Leonardo Macedo Ferreira, Elisabete Barreiro, Douglas de Araujo Smigly
We extend a generalization of Artin’s Theorem to alternative division rings. We characterize maps between alternative division rings taking products equal to one fixed element to products equal to another fixed element and study when these maps are either automorphisms or anti-automorphisms. In particular, we completely describe these maps in the case of Jordan homomorphisms.
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Mass Concentration Behavior of Attractive Bose–Einstein Condensates with Sinusoidal Potential in a Circular Region Mediterr. J. Math. (IF 1.1) Pub Date : 2023-11-30 Xincai Zhu, Changjian Wang
We deal with the attractive Bose–Einstein condensates with sinusoidal potential in a circular region \(S:=\{x:0\le |x|\le \pi \}\subset {\mathbb {R}}^{2}\). The existence, non-existence and mass concentration behavior (i.e., blow-up) of constrained minimizers for the related Gross-Pitaevskii energy functional are analyzed. Once the blow-up behavior arises, we prove that the mass of positive minimizers
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Uniform Decay for Thermoelastic Diffusion Problem of Type III with Delays Mediterr. J. Math. (IF 1.1) Pub Date : 2023-11-30 Moncef Aouadi, Francesca Passarella, Vincenzo Tibullo
In this article, we consider a thermoelastic diffusion problem of type III in one space dimension with boundary constant delays. First we prove that the one-dimensional problem is well-posed by the semigroup theory. By introducing a suitable energy and an appropriate Lyapunov functional, we show under smallness conditions that the damping delay effect through heat and mass diffusion conduction is strong
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The Complete Solution of the Diophantine Equation $$\left( F_{n+1}^{(k)}\right) ^x - \left( F_{n-1}^{(k)}\right) ^x = F_{m}^{(k)}$$ Mediterr. J. Math. (IF 1.1) Pub Date : 2023-11-30 Carlos A. Gómez, Jhonny C. Gómez, Florian Luca
The well-known Fibonacci sequence has several generalizations, among them, the k-generalized Fibonacci sequence denoted by \(F^{(k)}\). The first k terms of this generalization are \(0, \ldots , 0, 1\) and each one afterward corresponds to the sum of the preceding k terms. For the Fibonacci sequence the formula \(F_{n+1}^2 - F_{n-1}^2 = F_{2n}\) holds for every \(n \ge 1\). In this paper, we study
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Equivalence Relations Based on (b,c)-Inverses in Rings Mediterr. J. Math. (IF 1.1) Pub Date : 2023-11-23 Ivana Stanišev, Jelena Višnjić, Dragan S. Djordjević
In this paper, we introduce a binary relation in the set of all (b, c)-invertible elements of a ring, defined in the manner like minus, star, sharp, core, and dual core partial orders. We prove that this binary relation is actually an equivalence relation and we investigate some of its properties. Furthermore, we define another equivalence relation on the set of all (b, c)-invertible elements of a
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Quasi-Yamabe and Yamabe Solitons on Hypersurfaces of Nearly Kähler Manifolds Mediterr. J. Math. (IF 1.1) Pub Date : 2023-11-23 Bang-Yen Chen, Miloš B. Djorić, Mirjana Djorić
We establish that if the soliton vector field is the Reeb vector field, then a hypersurface of a nearly Kähler manifold is a quasi-Yamabe soliton if and only if it is a Yamabe soliton. We prove that if a hypersurface of an arbitrary nearly Kähler manifold admits a (quasi)-Yamabe soliton with the Reeb vector field as a soliton vector field, then its scalar curvature is constant and its Reeb flow is
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Topology of Fold Map Germs from $$\mathbb R^3$$ to $$\mathbb R^5$$ Mediterr. J. Math. (IF 1.1) Pub Date : 2023-11-20 J. A. Moya-Pérez, J. J. Nuño-Ballesteros