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Summer 2010 Extension and restriction of holomorphic functions on convex finite type domains
M. Jasiczak
Illinois J. Math. 54(2): 509-542 (Summer 2010). DOI: 10.1215/ijm/1318598671

Abstract

We consider holomorphic functions on a non-singular subvariety of a smoothly bounded convex domain of finite type. A sufficient and necessary condition is proved for such a function to have an extension to a $p$-integrable holomorphic function on the whole domain. This is shown under transversallity assumption and certain non-degeneracy condition of the subvariety.

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M. Jasiczak. "Extension and restriction of holomorphic functions on convex finite type domains." Illinois J. Math. 54 (2) 509 - 542, Summer 2010. https://doi.org/10.1215/ijm/1318598671

Information

Published: Summer 2010
First available in Project Euclid: 14 October 2011

zbMATH: 1233.32005
MathSciNet: MR2846472
Digital Object Identifier: 10.1215/ijm/1318598671

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Rights: Copyright © 2010 University of Illinois at Urbana-Champaign

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Vol.54 • No. 2 • Summer 2010
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