Traces and the F. and M. Riesz theorem for vector fields.

DOI10.5802/aif.1984zbMath1037.35024OpenAlexW244110455MaRDI QIDQ1415574

Shiferaw Berhanu, Jorge G. Hounie

Publication date: 8 December 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_5_1425_0

zbMATH Keywords

Hardy spacesweak boundary valuesF. and M. Riesz propertylocally integrable vector fields

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Boundary value problems in the complex plane (30E25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces (42B30) Boundary value problems for linear first-order PDEs (35F15)

Related Items (2)

Around \(L^1\)(un)boundedness of Bergman and Szegö projections ⋮ Denjoy-Carleman classes: boundary values, approximate solutions and applications

Cites Work

• A microlocal F. and M. Riesz theorem with applications
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• Abstract analytic function theory and Hardy algebras
• On boundary properties of solutions of complex vector fields
• Strong boundary values, analytic functionals, and nonlinear Paley-Wiener theory
• Solvability of a first order linear partial differential equation
• An F. and M. Riesz theorem for planar vector fields
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