Compactness of Sobolev imbeddings involving rearrangement-invariant norms

DOI10.4064/sm186-2-2zbMath1158.46024OpenAlexW1987158339MaRDI QIDQ5459714

Luboš Pick, Ron Kerman

Publication date: 29 April 2008

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

Full work available at URL: https://doi.org/10.4064/sm186-2-2

zbMATH Keywords

interpolationOrlicz spacesSobolev imbeddingrearrangement invariant norm

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 (17)

Compactness of Sobolev-type embeddings with measures ⋮ Almost-compact embeddings ⋮ Continuous and Compact Embeddings of Bessel-Potential-Type Spaces ⋮ Compactness of Sobolev embeddings and decay of norms ⋮ Characterization of associate spaces of weighted Lorentz spaces with applications ⋮ Optimal Sobolev type inequalities in Lorentz spaces ⋮ Estimates for continuity envelopes and approximation numbers of Bessel potentials ⋮ Weighted inequalities for discrete iterated kernel operators ⋮ Absolutely continuous embeddings of rearrangement-invariant spaces ⋮ Compactness for Sobolev-type trace operators ⋮ Different degrees of non-compactness for optimal Sobolev embeddings ⋮ Sobolev inequalities: symmetrization and self-improvement via truncation ⋮ A compact embedding of a Sobolev space is equivalent to an embedding into a better space ⋮ Weighted Inequalities for Integral and Supremum Operators ⋮ Optimality of Function Spaces in Sobolev Embeddings ⋮ Maximal non-compactness of Sobolev embeddings ⋮ A LIMITING CASE OF ULTRASYMMETRIC SPACES

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