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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.)
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