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Lp extension of holomorphic functions from submanifolds to strictly pseudoconvex domains with non-smooth boundary

Published online by Cambridge University Press:  22 January 2016

Kenzō Adachi
Kenzō Adachi*
Affiliation:
Department of Mathematics, Nagasaki University, Nagasaki, 852-8521, Japan, [email protected]
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Abstract

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Let D be a bounded strictly pseudoconvex domain in ℂn (with not necessarily smooth boundary) and let X be a submanifold in a neighborhood of . Then any Lp (1 ≥ p < ∞) holomorphic function in X ∩ D can be extended to an Lp holomorphic function in D.

Keywords

32A2632D15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 172 , 2003 , pp. 103 - 110
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

References

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