Tube structures, Hardy spaces and extension of CR distributions

DOI10.1090/S0002-9947-2011-05138-XzbMath1238.32004OpenAlexW2083907920MaRDI QIDQ3093464

J. Hounie, L. A. Carvalho dos Santos, Gustavo Hoepfner

Publication date: 17 October 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-2011-05138-x

zbMATH Keywords

Hardy spacesCR functionsBaouendi-Treves approximation formulalocally integrable structures

Mathematics Subject Classification ID

(H^p)-spaces (42B30) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Extension of functions and other analytic objects from CR manifolds (32V25) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (3)

A generalization of Bochner's extension theorem to rough tubes ⋮ A generalization of a microlocal version of Bochner’s theorem ⋮ On the extension of ℎ^{𝑝}-CR distributions defined on rough tubes

Cites Work

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• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• A local version of real Hardy spaces
• On the convergence of the baouendi-treves approximation formula
• The holomorphic extension of 𝐻^{𝑝}-CR functions on tube submanifolds
• Extension and approximation of CR functions on tube manifolds
• Notions of convexity

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