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Extension of Holomorphic Functions From One Side of a Hypersurface

Published online by Cambridge University Press:  20 November 2018

Luca Baracco
Luca Baracco*
Affiliation:
Dipartimento di Matematica, Università di Padova, via Belzoni 7, 35131 Padova, Italy email: [email protected]
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Abstract

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We give a new proof of former results by $\text{G}$. Zampieri and the author on extension of holomorphic functions from one side $\Omega$ of a real hypersurface $M$ of ${{\mathbb{C}}^{n}}$ in the presence of an analytic disc tangent to $M$, attached to $\bar{\Omega }$ but not to $M$. Our method enables us to weaken the regularity assumptions both for the hypersurface and the disc.

Keywords

32D10 32V25analytic discsPoisson integralholomorphic extension
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 48 , Issue 4 , 01 December 2005 , pp. 500 - 504
Copyright
Copyright © Canadian Mathematical Society 2005

References

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