The \(L^p\) CR Hartogs separate analyticity theorem for convex domains

DOI10.1007/s00209-017-1894-zzbMath1408.32037OpenAlexW2613777900MaRDI QIDQ1706098

Mark G. Lawrence

Publication date: 21 March 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-017-1894-z

zbMATH Keywords

separately holomorphic functionsSzegő kernelHartogs theoremCR functions

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Boundary behavior of holomorphic functions of several complex variables (32A40) Extension of functions and other analytic objects from CR manifolds (32V25)

Related Items

Testing families of analytic discs in the unit ball of \(\mathbb{C}^2\) ⋮ Bergman-Szegő asymptotic formulas and the strip problem ⋮ On Shimoda's Theorem ⋮ Orthogonal testing families and holomorphic extension from the sphere to the ball

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Holomorphic extension from a convex hypersurface
• Propagation of boundary CR foliations and Morera type theorems for manifolds with attached analytic discs
• Extremal discs and holomorphic extension from convex hypersurfaces
• A conjecture of Globevnik-Stout and a theorem of Morera for a holomorphic chain
• Meromorphic extensions from small families of circles and holomorphic extensions from spheres
• Dirichlet and Neumann problems for planar domains with parameter
• HARTOGS' SEPARATE ANALYTICITY THEOREM FOR CR FUNCTIONS
• Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball
• An analog of the Hartogs theorem in a ball of
• The boundary values of holomorphic functions of several complex variables