A Morera theorem for the boundary values of holomorphic functions in the unit ball in \(\mathbb C^ N\).

DOI10.1216/rmjm/1181069990zbMath1034.32005OpenAlexW2068869806MaRDI QIDQ1414972

Darja Govekar-Leban

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol33-1/CONT33-1/CONT33-1.html

zbMATH Keywords

Morera theoremsextension through the unit ball in \(\mathbb C^N\)families of affine complex planesMorera property with respect to affine complex subspaceMorera property with respect to affine real hyperplanes

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Extension of functions and other analytic objects from CR manifolds (32V25)

Cites Work

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• Boundary Morera theorems for holomorphic functions of several complex variables
• Moebius-invariant function spaces on balls and spheres
• Morera conditions along real planes and a characterization of CR functions on boundaries of domains in \(\mathbb{C}^ N\)
• On a certain boundary analog of Morera's theorem
• Local boundary Morera theorems
• Continuous Boundary Values of Analytic Functions of Several Complex Variables