Factoring Sobolev inequalities through classes of functions

DOI10.1090/S0002-9939-2012-11355-3zbMath1279.46023arXiv1107.2139MaRDI QIDQ2845872

David Alonso-Gutiérrez, Julio Bernués, Jesús Bastero

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2139

zbMATH Keywords

Sobolev inequalitysharp constantsaffine isoperimetric inequalities

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) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Optimal Sobolev norms in the affine class ⋮ The \(L^p\) Gagliardo-Nirenberg-Zhang inequality

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