 |
|
CR Extension from Manifolds of Higher Type |
Canad. J. Math. 60(2008), 1219-1239
Published:2008-12-01
Printed: Dec 2008
Printed: Dec 2008
- Luca Baracco
- Giuseppe Zampieri
Abstract
This paper deals with the extension of CR functions
from a manifold $M\subset \mathbb C^n$ into directions produced by higher
order commutators of holomorphic and antiholomorphic vector fields. It
uses the theory of complex ``sectors'' attached to real submanifolds
introduced in recent joint work of the authors with D. Zaitsev. In
addition, it develops a new technique of approximation of sectors by
smooth discs.
| MSC Classifications: |
32V25 - Extension of functions and other analytic objects from CR manifolds 32V35 - Finite type conditions on CR manifolds 32C16 - unknown classification 32C16 32F18 - Finite-type conditions |