On the extension of ℎ^{𝑝}-CR distributions defined on rough tubes

DOI10.1090/S0002-9939-2011-10927-4zbMath1236.32018OpenAlexW2064558677MaRDI QIDQ3116553

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

Publication date: 24 February 2012

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10927-4

zbMATH Keywords

Hardy spacesCR functionsBaouendi-Treves approximation formula

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)

Cites Work

• A generalization of Bochner's extension theorem to rough tubes
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• A local version of real Hardy spaces
• Tube structures, Hardy spaces and extension of CR distributions
• CR Functions and Tube Manifolds
• The holomorphic extension of 𝐻^{𝑝}-CR functions on tube submanifolds
• Extension and approximation of CR functions on tube manifolds
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