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On the Forelli-Rudin construction and weighted Bergman projections. (English) Zbl 0688.32020

The author’s abstract: “We apply the Forelli-Rudin construction to construct the Sobolev spaces of holomorphic functions on some smooth Hartogs domains and the regularity of weighted Bergman projections on weakly regular pseudoconvex domains. We also study the kernels of weighted Bergman projections on strictly pseudoconvex domains.”
Reviewer: E.J.Straube

MSC:

32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.)
32A07 Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
32A99 Holomorphic functions of several complex variables
46E20 Hilbert spaces of continuous, differentiable or analytic functions
32T99 Pseudoconvex domains
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