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Hartogs Type Theorems for CR L2 Functions on Coverings of Strongly Pseudoconvex Manifolds

Published online by Cambridge University Press:  11 January 2016

Alexander Brudnyi
Alexander Brudnyi*
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
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Abstract

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We prove an analog of the classical Hartogs extension theorem for CR L2 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 L2 functions on coverings of pseudoconvex manifolds.

Keywords

32V2532A40
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 189 , 2008 , pp. 27 - 47
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2008

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