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2008 Hartogs type theorems for $CR$ $L^{2}$ functions on coverings of strongly pseudoconvex manifolds
Alexander Brudnyi
Nagoya Math. J. 189: 27-47 (2008).

Abstract

We prove an analog of the classical Hartogs extension theorem for $CR$ $L^{2}$ functions defined on boundaries of certain (possibly unbounded) domains on coverings of strongly pseudoconvex manifolds. Our result is related to a question formulated in the paper of Gromov, Henkin and Shubin [GHS] on holomorphic $L^{2}$ functions on coverings of pseudoconvex manifolds.

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Alexander Brudnyi. "Hartogs type theorems for $CR$ $L^{2}$ functions on coverings of strongly pseudoconvex manifolds." Nagoya Math. J. 189 27 - 47, 2008.

Information

Published: 2008
First available in Project Euclid: 10 March 2008

zbMATH: 1142.32004
MathSciNet: MR2396582

Subjects:
Primary: 32V25
Secondary: 32A40

Keywords: covering , CR-function , Lipschitz function , strongly pseudoconvex manifold

Rights: Copyright © 2008 Editorial Board, Nagoya Mathematical Journal

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