Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent

DOI10.1016/j.matpur.2007.09.004zbMath1137.46016OpenAlexW2044001302MaRDI QIDQ2465761

Alberto Fiorenza, Jean Michel Rakotoson

Publication date: 8 January 2008

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2007.09.004

zbMATH Keywords

variable exponent Lebesgue spacesmonotone rearrangementrelative rearrangementcompact Sobolev embedding

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) Inequalities involving other types of functions (26D07)

Related Items (8)

Variable exponents and grand Lebesgue spaces: Some optimal results ⋮ Lipschitz properties in variable exponent problems via relative rearrangement ⋮ On a fast bilateral filtering formulation using functional rearrangements ⋮ Embeddings between grand, small, and variable Lebesgue spaces ⋮ Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\) ⋮ Relatively compact sets in variable-exponent Lebesgue spaces ⋮ Entropy solutions for nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity ⋮ Remarks on compactness results for variable exponent spaces \(L^{p(\cdot)}\)

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