Abstract
We use a method of Berndtsson to obtain a simplification of Ohsawa's result concerning extension of $L^{2}$-holomorphic functions. We also study versions of the Ohsawa-Takegoshi theorem for some unbounded pseudoconvex domains, with an application to the theory of Bergman spaces. Using these methods we improve some constants, that arise in related inequalities.
Citation
Żywomir Dinew. "The Ohsawa-Takegoshi extension theorem on some unbounded sets." Nagoya Math. J. 188 19 - 30, 2007.
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