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Extension of Holomorphic Functions From One Side of a Hypersurface |
Canad. Math. Bull. 48(2005), 500-504
Published:2005-12-01
Printed: Dec 2005
Printed: Dec 2005
- Luca Baracco
Abstract
We give a new proof of former results by 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: | analytic discs, Poisson integral, holomorphic extension |
| MSC Classifications: |
32D10 - Envelopes of holomorphy 32V25 - Extension of functions and other analytic objects from CR manifolds |