Enviar artigo por via de e-mail Estimating the Norm of the Holomorphic Component of a Meromorphic Function in a Finitely Connected Domain
- Autores: Kalmykov S.1,2,3, Nagy B.4
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Afiliações:
- Far Eastern Federal University
- Institute of Applied Mathematics
- Bolyai Institute, University of Szeged
- MTA-SZTE Analysis and Stochastics Research Group, Bolyai Institute
- Edição: Volume 217, Nº 1 (2016)
- Páginas: 81-90
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237976
- DOI: https://doi.org/10.1007/s10958-016-2957-0
- ID: 237976
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Resumo
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.
Sobre autores
S. Kalmykov
Far Eastern Federal University; Institute of Applied Mathematics; Bolyai Institute, University of Szeged
Autor responsável pela correspondência
Email: sergeykalmykov@inbox.ru
Rússia, Vladivostok; Vladivostok; Szeged
B. Nagy
MTA-SZTE Analysis and Stochastics Research Group, Bolyai Institute
Autor responsável pela correspondência
Email: nbela@math.u-szeged.hu
Hungria, Szeged
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