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arXiv · 1408.1138

H\"{o}lder estimates for Cauchy-Type Integrals and proper holomorphic mappings of symmetric products

Evan Castle·Debraj Chakrabarti·David Gunderman·Ellen Lehet
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Abstract

We prove estimates in H\"{o}lder 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 H\"{o}lder spaces of proper holomorphic maps between symmetric products of planar domains.

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Evan Castle, Debraj Chakrabarti, David Gunderman, Ellen Lehet. 2014-08-05. H\"{o}lder estimates for Cauchy-Type Integrals and proper holomorphic mappings of symmetric products. https://arxiv.org/abs/1408.1138

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