Document Type

Article

Publication Title

Rocky Mountain Journal of Mathematics

Abstract

Let ω1;ω2 be smoothly bounded doubly connected regions in the complex plane. We establish a transformation law for the Szego kernel under proper holomorphic mappings. This extends known results concerning biholomorphic mappings between multiply connected regions as well as proper holomorphic mappings from multiply connected regions to simply connected regions.

First Page

779

Last Page

790

DOI

10.1216/RMJ-2014-44-3-779

Publication Date

1-1-2014

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