Refined Sobolev inequalities in Lorentz spaces

DOI10.1007/s00041-011-9171-8zbMath1227.46025OpenAlexW2002073123MaRDI QIDQ636823

Hajer Bahouri, Albert Cohen

Publication date: 30 August 2011

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-011-9171-8

zbMATH Keywords

Besov spacesLorentz spacesrefined Hardy inequalitiesrefined Sobolev 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 for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

The Littlewood-Paley theory: a common thread of many works in nonlinear analysis ⋮ Functional inequalities in stratified Lie groups with Sobolev, Besov, Lorentz and Morrey spaces ⋮ Real interpolation method, Lorentz spaces and refined Sobolev inequalities ⋮ Gagliardo-Nirenberg inequalities ⋮ On Gagliardo-Nirenberg type inequalities ⋮ Sharp Adams-type inequality invoking Hardy inequalities ⋮ A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields

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