Improving sharp Sobolev type inequalities by optimal remainder gradient norms

DOI10.3934/cpaa.2012.11.1363zbMath1276.46023OpenAlexW2321382415MaRDI QIDQ1947924

Andrea Cianchi, Adele Ferone

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.1363

zbMATH Keywords

rearrangement invariant spacesLorentz spacesHardy-Sobolev inequalityremainder terms

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 (4)

Weighted inequalities for discrete iterated kernel operators ⋮ Optimality problems in Orlicz spaces ⋮ Sharp Hardy inequalities in the half space with trace remainder term ⋮ Kato’s Inequality in the Half Space: An Alternative Proof and Relative Improvements

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