Sharp Sobolev Embeddings and Related Hardy Inequalities: The Sub ‐‐ Critical Case

DOI10.1002/mana.3212080110zbMath0945.46018OpenAlexW2144411781MaRDI QIDQ4934184

Hans Triebel

Publication date: 21 September 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3212080110

zbMATH Keywords

rearrangement invariant spacessubcritical casefunction spacesHardy inequalitiessharp embeddings

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (7)

Sharp embeddings of Besov-type spaces ⋮ Hardy type inequalities on balls ⋮ A note on the fractional Hardy inequality ⋮ Hardy type inequalities in \(L^{p}\) with sharp remainders ⋮ Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications ⋮ Besov spaces with positive smoothness on \(\mathbb R^n\), embeddings and growth envelopes ⋮ Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space

Cites Work

• A discrete transform and decompositions of distribution spaces
• Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Espaces d'interpolation et théorème de Soboleff
• Fractals and Spectra
• Sharp sobolev embeddings and related hardy inequalities: The critical case
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