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

2014/08/05 by Evan Castle, Debraj Chakrabarti, Castle, Evan +5
Mathematics · #30E20 #32H40 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:30E20 #msc:32H40

paper · pdf · doi:10.48550/arxiv.1408.1138

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

arxiv created 2014/08/05 · openalex publication_date 2014/08/05 · arxiv updated 2014/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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