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arxiv: 1408.1138 · v1 · pith:R2JIT4Y3new · submitted 2014-08-05 · 🧮 math.CV

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

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keywords holomorphiclderproductssymmetriccauchy-typedomainsestimatesplanar
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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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