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Non-holomorphic projections and extension of biholomorphic mappings

2012/05/01 by Jeffery D. McNeal, McNeal, Jeffery D.
Mathematics · #Analytic and geometric function theory #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV

paper · pdf · doi:10.48550/arxiv.1205.0284

arxiv created 2012/05/01 · arxiv updated 2012/05/03

Abstract

We show that biholomorphic mappings between two bounded, pseudoconvex domains with smooth boundary extend smoothly to the boundaries of the domains, under a regularity condition on a family of twisted Bergman-like projections. This result is inspired by and generalizes a sufficient condition for extension due to Bell and Ligocka.

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