Sobolev inequalities for Musielak-Orlicz spaces

DOI10.1007/S00229-017-0944-5zbMath1392.46037OpenAlexW2622773138MaRDI QIDQ1692193

Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura

Publication date: 26 January 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-017-0944-5

zbMATH Keywords

Sobolev embeddingMusielak-Orlicz-Sobolev functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (8)

Sobolev’s Inequality for Riesz Potentials of Functions in Musielak–Orlicz–Morrey Spaces Over Non-doubling Metric Measure Spaces ⋮ Sobolev's inequality for Musielak-Orlicz-Sobolev functions ⋮ Maximal and Riesz potential operators on Musielak-Orlicz spaces over metric measure spaces ⋮ Weak estimates for the maximal and Riesz potential operators in central Herz-Morrey spaces on the unit ball ⋮ Removability of zero modular capacity sets ⋮ Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces ⋮ SOBOLEV’S INEQUALITY FOR MUSIELAK–ORLICZ–MORREY SPACES OVER METRIC MEASURE SPACES ⋮ Sobolev-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• Local-to-global results in variable exponent spaces
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. II
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\)
• Sobolev inequalities with variable exponent attaining the values 1 and \(n\)
• On Sobolev theorem for Riesz-type potentials in Lebesgue spaces with variable exponent
• A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces
• Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
• Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
• Pointwise inequalities in variable Sobolev spaces and applications
• 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
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• On the Sobolev-type inequality for Lebesgue spaces with a variable exponent
• SOBOLEV INEQUALITIES FOR ORLICZ SPACES OF TWO VARIABLE EXPONENTS
• Variable exponent Sobolev spaces with zero boundary values
• 𝐿log𝐿 results for the maximal operator in variable 𝐿^{𝑝} spaces
• Sobolev embeddings with variable exponent

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