Hölder estimates for Cauchy-Type Integrals and proper holomorphic mappings of symmetric products

preprint2014arXivOpen access

Abstract

We prove estimates in Hölder spaces for some Cauchy-type integral operators representing holomorphic functions in Cartesian and symmetric products of planar domains. As a consequence, we obtain information on the boundary regularity in Hölder spaces of proper holomorphic maps between symmetric products of planar domains.

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