Email this article Estimating the Norm of the Holomorphic Component of a Meromorphic Function in a Finitely Connected Domain
- Authors: Kalmykov S.1,2,3, Nagy B.4
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Affiliations:
- Far Eastern Federal University
- Institute of Applied Mathematics
- Bolyai Institute, University of Szeged
- MTA-SZTE Analysis and Stochastics Research Group, Bolyai Institute
- Issue: Vol 217, No 1 (2016)
- Pages: 81-90
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237976
- DOI: https://doi.org/10.1007/s10958-016-2957-0
- ID: 237976
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Abstract
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.
About the authors
S. Kalmykov
Far Eastern Federal University; Institute of Applied Mathematics; Bolyai Institute, University of Szeged
Author for correspondence.
Email: sergeykalmykov@inbox.ru
Russian Federation, Vladivostok; Vladivostok; Szeged
B. Nagy
MTA-SZTE Analysis and Stochastics Research Group, Bolyai Institute
Author for correspondence.
Email: nbela@math.u-szeged.hu
Hungary, Szeged
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