Limiting fractional and Lorentz space estimates of differential forms

DOI10.1090/S0002-9939-09-10005-9zbMath1184.35012arXiv0903.2182MaRDI QIDQ3402175

Jean Van Schaftingen

Publication date: 2 February 2010

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

Full work available at URL: https://arxiv.org/abs/0903.2182

zbMATH Keywords

Triebel-Lizorkin spacesHodge decompositionBesov spacesexterior differentialLorentz-Sobolev spacesdiv-curl systemlimiting embedding

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear first-order PDEs (35F05) Differential forms in global analysis (58A10) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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