Results 11 to 20 of about 18,802 (182)
Approximation problems in the Lebesgue spaces with variable exponent
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
İsrafilov, Daniyal M., Testici, Ahmet
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Interpolation theorems for variable exponent Lebesgue spaces
Journal of Functional Analysis, 2009 The classical result of Fefferman and Stein about complex interpolation between the Lebesgue space \(L^p\) on \({\mathbb R}^n\) and the spaces \(BMO\) or \(H^1\) is extended to the case of variable exponents \(p(.)\), under the condition that the Hardy-Littlewood maximal operator is bounded in \(L^{p(.)}\).
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BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces
Journal of Function Spaces, 2021 Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
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Convergence in variable Lebesgue spaces [PDF]
, 2010 We consider the relationship in the variable Lebesgue space Lp(·)(Ω) between convergence in norm, convergence in modular, and convergence in measure, for both bounded and unbounded exponent ...
Cruz-Uribe, David +2 more
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Universal Journal of Mathematics and Applications, 2019 For the last quarter century a considerable number of research has been carried out on the study of Herz spaces, variable exponent Lebesgue spaces and Sobolev spaces.
Lütfi Akın
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VARIABLE LEBESGUE ALGEBRA ON A LOCALLY COMPACT GROUP
Проблемы анализа, 2023 For a locally compact group 𝐻 with a left Haar measure, we study the variable Lebesgue algebra L^(p(.))(𝐻) with respect to convolution. We show that if L^(p(.))(𝐻) has a bounded exponent, then it contains a left approximate identity.
P. Saha, B. Hazarika
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Fractal and Fractional, 2023 The goal of this work is to study a multi-term boundary value problem (BVP) for fractional differential equations in the variable exponent Lebesgue space (Lp(·)).
Mohammed Said Souid +2 more
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Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian
Advances in Nonlinear Analysis, 2022 The aim of this article is to study nonlinear problem driven by the p(t)p\left(t)-Laplacian with nonsmooth potential. We establish the existence of homoclinic solutions by using variational principle for locally Lipschitz functions and the properties of ...
Cheng Jun, Chen Peng, Zhang Limin
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Journal of Optimization, Differential Equations and Their Applications, 2022 We deal with the initial-boundary value problems with some restrictions at infinity for linear and nonlinear anisotropic parabolic second-order equations in unbounded domains with respect to the spatial variables.
Mykola Bokalo
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On Variable Exponent Amalgam Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
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