Potential maps, Hardy spaces, and tent spaces on special Lipschitz domains

DOI10.5565/PUBLMAT_57213_02zbMath1282.35113arXiv1006.0562MaRDI QIDQ2637435

Robert J. Taggart, Alan G. R. McIntosh, Martin Costabel

Publication date: 11 February 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0562

zbMATH Keywords

differential formsexterior derivativeatomic characterisationpotential map

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral representations of solutions to PDEs (35C15) Linear first-order PDEs (35F05) Integral operators (47G10) (H^p)-spaces (42B30) Differential complexes (58J10)

Related Items (2)

Hardy and BMO spaces on Weyl chambers ⋮ A survey about the equation \(\mathrm{div} u=f\) in bounded domains of \(\mathbb R^n\)

Cites Work

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• \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems
• The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains
• Hardy space of exact forms on $\mathbb {R}^N$
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• A real variable characterization of $H^{p}$
• Hardy spaces of exact forms on Lipschitz domains in R^n

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