Embedding property on rearrangement invariant spaces

DOI10.1007/s11766-012-2985-6zbMath1289.46054OpenAlexW2113435779MaRDI QIDQ377922

Hongliang Li

Publication date: 19 November 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-012-2985-6

zbMATH Keywords

Sobolev spacerearrangement invariant spaceLorentz spaceSobolev embedding

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

• Higher-order symmetrization inequalities and applications
• On a rearrangement-invariant function set that appears in optimal Sobolev embeddings
• Embeddings for anisotropic Besov spaces
• Self improving Sobolev--Poincaré inequalities, truncation and symmetrization
• Isoperimetry and symmetrization for logarithmic Sobolev inequalities
• On an embedding of Sobolev spaces
• Symmetrization inequalities in the fractional case and Besov embeddings
• Sobolev inequalities: symmetrization and self-improvement via truncation
• A note on extreme cases of Sobolev embeddings
• Some notes on embedding for anisotropic Sobolev spaces
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Symmetrization inequalities and Sobolev embeddings
• ON SHARP HIGHER ORDER SOBOLEV EMBEDDINGS
• A note on L(\infty, q) spaces and Sobolev embeddings
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