Traces of functions in Hardy and Besov spaces on Lipschitz domains with applications to compensated compactness and the theory of Hardy and Bergman type spaces

DOI10.1016/j.jfa.2007.01.004zbMath1162.42310OpenAlexW2063207279MaRDI QIDQ883508

Marius Mitrea, Tünde Jakab, Irina Mitrea

Publication date: 4 June 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.01.004

zbMATH Keywords

differential formsBergman spacesHardy spacesBesov spacescompensated compactnesstracesenvelopesLipschitz domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30)

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Cites Work

• Layer potentials and boundary value problems for elliptic systems in Lipschitz domains
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