Sobolev inequalities for Musielak-Orlicz spaces (Q1692193)

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scientific article; zbMATH DE number 6830042

Language	Label	Description	Also known as
English	Sobolev inequalities for Musielak-Orlicz spaces	scientific article; zbMATH DE number 6830042

Statements

scholarly article

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Sobolev inequalities for Musielak-Orlicz spaces (English)

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Yoshihiro Mizuta

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Tetsu Shimomura

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Manuscripta Mathematica

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publication date

26 January 2018

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zbMATH Keywords

Sobolev embedding

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Musielak-Orlicz-Sobolev functions

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s00229-017-0944-5

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Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces

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Pointwise inequalities in variable Sobolev spaces and applications

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The fractional maximal operator and fractional integrals on variable \(L^p\) spaces

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On the Sobolev-type inequality for Lebesgue spaces with a variable exponent

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𝐿log𝐿 results for the maximal operator in variable 𝐿^{𝑝} spaces

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Variable Lebesgue spaces. Foundations and harmonic analysis

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Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)

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Lebesgue and Sobolev spaces with variable exponents

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Sobolev embeddings with variable exponent

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Variable exponent Sobolev spaces with zero boundary values

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A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces

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Sobolev inequalities with variable exponent attaining the values 1 and \(n\)

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Local-to-global results in variable exponent spaces

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SOBOLEV INEQUALITIES FOR ORLICZ SPACES OF TWO VARIABLE EXPONENTS

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On Sobolev theorem for Riesz-type potentials in Lebesgue spaces with variable exponent

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Compact embedding from \(W_0^{1,2}(\Omega)\) to \(L^{q(x)}(\Omega )\) and its application to nonlinear elliptic boundary value problem with variable critical exponent

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Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces

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Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\)

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Orlicz spaces and modular spaces

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Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. II

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00229-017-0944-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:1692193

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