Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz-Sobolev embeddings

DOI10.1155/2005/254184zbMath1080.46017OpenAlexW2131261784MaRDI QIDQ558509

Evgeniy Pustylnik

Publication date: 6 July 2005

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2005/254184

zbMATH Keywords

Sobolev embeddingsOrlicz spacesrearrangement-invariant spaces

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 (14)

Symmetrization inequalities and Sobolev embeddings ⋮ Higher-order symmetrization inequalities and applications ⋮ Isomorphisms on interpolation spaces generated by the method of means ⋮ Disjointly homogeneous rearrangement invariant spaces via interpolation ⋮ Symmetrization inequalities in the fractional case and Besov embeddings ⋮ On a rearrangement-invariant function set that appears in optimal Sobolev embeddings ⋮ Ultrasymmetric Orlicz spaces ⋮ The cone of rearrangements for generalized Bessel potentials ⋮ Sobolev inequalities: symmetrization and self-improvement via truncation ⋮ Integral properties of generalized Bessel potentials ⋮ Reiteration theorems with extreme values of parameters ⋮ A LIMITING CASE OF ULTRASYMMETRIC SPACES ⋮ Weighted inequalities involving Hardy and Copson operators ⋮ Functional properties of rearrangement invariant spaces defined in terms of oscillations

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