On compactness of Sobolev embeddings in rearrangement-invariant spaces

DOI10.1515/FORUM.2006.042zbMath1120.46019OpenAlexW2080306626MaRDI QIDQ3425516

Evgeniy Pustylnik

Publication date: 26 February 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2006.042

zbMATH Keywords

Sobolev embeddingsrearrangement invariant spacecompact embeddingsHardy operatorBoyd indicesfundamental 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 (5)

Continuous and Compact Embeddings of Bessel-Potential-Type Spaces ⋮ Optimal Sobolev type inequalities in Lorentz spaces ⋮ Absolutely continuous embeddings of rearrangement-invariant spaces ⋮ Sobolev inequalities: symmetrization and self-improvement via truncation ⋮ Pointwise symmetrization inequalities for Sobolev functions and applications

Cites Work

• Unnamed Item
• Compactness of integral operators in Banach function spaces
• Sobolev type embeddings in the limiting case
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• A note on limiting cases of sobolev embeddings and convolution inequalities
• ON SHARP HIGHER ORDER SOBOLEV EMBEDDINGS
• Optimal interpolation in spaces of Lorentz-Zygmund type

This page was built for publication: On compactness of Sobolev embeddings in rearrangement-invariant spaces