Estimating the Norm of the Holomorphic Component of a Meromorphic Function in a Finitely Connected Domain


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In this paper, we extend a Gonchar–Grigorjan type estimate for the norm of the holomorphic parts of meromorphic functions in finitely connected Jordan domains with C2-smooth boundary in the case where the poles are in a compact set. A uniform estimate for Cauchy type integrals is also given.

作者简介

S. Kalmykov

Far Eastern Federal University; Institute of Applied Mathematics; Bolyai Institute, University of Szeged

编辑信件的主要联系方式.
Email: sergeykalmykov@inbox.ru
俄罗斯联邦, Vladivostok; Vladivostok; Szeged

B. Nagy

MTA-SZTE Analysis and Stochastics Research Group, Bolyai Institute

编辑信件的主要联系方式.
Email: nbela@math.u-szeged.hu
匈牙利, Szeged

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