The Bergman Kernel Function and Proper Holomorphic Mappings
نویسنده
چکیده
It is proved that a proper holomorphic mapping / between bounded complete Reinhardt domains extends holomorphically past the boundary and that if, in addition, /~'(0) = {0}, then / is a polynomial mapping. The proof is accomplished via a transformation rule for the Bergman kernel function under proper holomorphic mappings.
منابع مشابه
Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball
and Applied Analysis 3 Let K z, z be the Bergman kernel function. Then the Bergman metric Hz β, β can be defined as
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تاریخ انتشار 2010