Hardy-Sobolev inequalities for vector fields and canceling linear differential operators

DOI10.1512/iumj.2014.63.5395zbMath1325.46037arXiv1305.4262OpenAlexW2112907001MaRDI QIDQ2940947

Jean Van Schaftingen, Pierre Bousquet

Publication date: 21 January 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4262

zbMATH Keywords

Hardy inequalityHardy-Sobolev inequalitysymmetric derivativeexterior derivativehomogeneous differential operatorcanceling operatorcocanceling operatoroverdetermined elliptic operatorHodge-Hardy inequalityTorn-Hardy inequality

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

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