Results 11 to 20 of about 3,185,169 (199)

On Some Properties of Integral-Type Operator in Weighted Herz Spaces with Variable Exponent Lebesgue Spaces [PDF]

open access: yesUniversal 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
doaj   +3 more sources

Well-posedness of generalized magnetohydrodynamic equations in variable Lebesgue spaces [PDF]

open access: yesElectronic Journal of Differential Equations
This article concerns the well-posedness of the generalized magnetohydrodynamic equations in variable Lebesgue spaces. By using some basic properties of variable Lebesgue spaces and decay estimates of the fractional heat kernel, we prove the existence ...
Jinyi Sun, Yuanwei Mai, Minghua Yang
doaj   +2 more sources

A Note on Noneffective Weights in Variable Lebesgue Spaces [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show that Lp(⋅)(Ω)=Lωp(⋅)(Ω) if and only if ω(x)1/p(x)~constant in the set where p(⋅)
Alberto Fiorenza, Miroslav Krbec
doaj   +2 more sources

Hardy-Leray inequalities in variable Lebesgue spaces [PDF]

open access: yes, 2023
In this paper, we prove the Hardy-Leray inequality and related inequalities in variable Lebesgue spaces. Our proof is based on a version of the Stein-Weiss inequality in variable Lebesgue spaces derived from two weight inequalities due to Melchiori
Cruz-Uribe, David, Suragan, Durvudkhan
core   +1 more source

Variable Lebesgue norm estimates for BMO functions [PDF]

open access: yes, 2005
summary:In this paper, we are going to characterize the space ${\rm BMO}({\mathbb R}^n)$ through variable Lebesgue spaces and Morrey spaces. There have been many attempts to characterize the space ${\rm BMO}({\mathbb R}^n)$ by using various function ...
Ho, Kwok-Pun   +5 more
core   +1 more source

Notes on commutator on the variable exponent Lebesgue spaces [PDF]

open access: yes, 2019
summary:We obtain the factorization theorem for Hardy space via the variable exponent Lebesgue spaces. As an application, it is proved that if the commutator of Coifman, Rochberg and Weiss $[b,T]$ is bounded on the variable exponent Lebesgue spaces, then
Wang, Dinghuai
core   +1 more source

On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations

open access: yesJournal of Inequalities and Applications, 2023
A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
doaj   +1 more source

Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces

open access: yesAbstract and Applied Analysis, 2013
We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.
Hui-Ling Wu, Jia-Cheng Lan
doaj   +1 more source

Multiplication operators in variable Lebesgue spaces [PDF]

open access: yes, 2015
In this note we will characterize the boundedness, invertibility, compactness and closedness of the range of multiplication operators on variable Lebesgue ...
Castillo, René Erlin   +2 more
core   +1 more source

Certain results for a class of nonlinear functional spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
In this article, we study properties of a class of functional spaces, so-called pn-spaces, which arise from investigation of nonlinear differential equations.
K. Soltanov, U. Sert
doaj   +1 more source

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