S. Kalmykov, B. Nagy, “On estimate of the norm of the holomorphic component of a meromorphic function in finitely connected domains”, Zap. Nauchn. Sem. POMI, 2015, Volume 440,Pages <nobr>123

This article is cited in 1 paper

On estimate of the norm of the holomorphic component of a meromorphic function in finitely connected domains

S. Kalmykov^abc, B. Nagy^d

^a Bolyai Institute, University of Szeged, Aradi v. tere 1, Szeged, 6720, Hungary
^b Far Eastern Federal University, 8 Sukhanova Street, Vladivostok, 690950, Russia
^c Institute of Applied Mathematics, FEBRAS, 7 Radio Street, Vladivostok, 690041, Russia
^d MTA-SZTE Analysis and Stochastics Research Group, Bolyai Institute, University of Szeged, Aradi v. tere 1, Szeged, 6720, Hungary

Abstract: In this paper we extend Gonchar–Grigorjan type estimate of the norm of holomorphic part of meromorphic functions in finitely connected Jordan domains with $C^2$ smooth boundary when the poles are in a compact set. A uniform estimate for Cauchy type integral is also given.

Key words and phrases: meromorphic functions, Green's function, conformal mappings.

UDC: 517.5

Received: 03.06.2015

Language: English