SOBOLEV INEQUALITIES FOR ORLICZ SPACES OF TWO VARIABLE EXPONENTS

DOI10.1017/S0017089509990292zbMath1206.46035MaRDI QIDQ3564608

Takao Ohno, Yoshihiro Mizuta, Tetsu Shimomura, Peter A. Hästö

Publication date: 26 May 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Sobolev embeddingsSobolev-Orlicz 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 (13)

Compact embeddings for Sobolev spaces of two variable exponents ⋮ Generalized Orlicz spaces and related PDE ⋮ Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials ⋮ A trace inequality of Riesz potentials in variable exponent Orlicz spaces ⋮ Sobolev inequalities for Musielak-Orlicz spaces ⋮ Sobolev's inequality for Musielak-Orlicz-Sobolev functions ⋮ Extrapolation and interpolation in generalized Orlicz spaces ⋮ The Riesz potential in generalized Orlicz spaces ⋮ Weighted Sobolev inequality in Musielak-Orlicz space ⋮ Existence of solutions for weighted \(p(r)\)-Laplacian impulsive integro-differential system periodic-like boundary value problems ⋮ PDE and ODE limit problems for \(p(x)\)-Laplacian parabolic equations ⋮ Weak estimates for the maximal and Riesz potential operators in central Herz-Morrey spaces on the unit ball ⋮ Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces

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