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arxiv: 1205.0284 · v1 · pith:R4YV4YP4new · submitted 2012-05-01 · 🧮 math.CV

Non-holomorphic projections and extension of biholomorphic mappings

classification 🧮 math.CV
keywords biholomorphicconditiondomainsextensionmappingsprojectionsbellbergman-like
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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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