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

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.

The research reported in this article was conducted during the NSF funded Research Experience for Undergraduates at Central Michigan University