The Szegö projection: Sobolev estimates in regular domains. (English) Zbl 0622.32006
The Szegö projection is investigated in the framework of Sobolev spaces. The domain under consideration is assumed to be weakly pseudoconvex and regular in the sense of Diederich, Fornaess, and Catlin. It is proved that the Szegö projection preserves global smoothness and local smoothness near boundary points of finite type.
Reviewer: A.Pankov
MSC:
32A40 | Boundary behavior of holomorphic functions of several complex variables |
32A25 | Integral representations; canonical kernels (Szegő, Bergman, etc.) |