HARTOGS' SEPARATE ANALYTICITY THEOREM FOR CR FUNCTIONS

DOI10.1142/S0129167X07004059zbMath1118.32007OpenAlexW2085298438MaRDI QIDQ3442766

Mark G. Lawrence

Publication date: 23 May 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x07004059

zbMATH Keywords

holomorphic extensionCR functionsseparate analyticity

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) CR functions (32V10)

Related Items (5)

The strip problem for L^p functions ⋮ Testing families of analytic discs in the unit ball of \(\mathbb{C}^2\) ⋮ The \(L^p\) CR Hartogs separate analyticity theorem for convex domains ⋮ Analog of a theorem of Forelli for boundary values of holomorphic functions on the unit ball of \(\mathbb C^n\) ⋮ Orthogonal testing families and holomorphic extension from the sphere to the ball

Cites Work

• Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
• Boundary Morera theorems for holomorphic functions of several complex variables
• A conjecture of Globevnik-Stout and a theorem of Morera for a holomorphic chain
• Analyticity on circles for rational and real-analytic functions of two real variables

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