This article is cited in 2 papers

Cesàro means for the functions from the Hardy space in polydisc

S. G. Pribegin

Chair of Higher and Applied Mathematics, Odessa National Maritime University, 34 Mechnikov str., Odessa, 65029 Ukraine

Abstract: We prove that Cesàro mean values of analytic functions in the unit polydisc in a Hardy space are bounded with respect to the parameter $m$, provided that the rest parameters satisfy certain conditions.

Keywords: polydisc, Hardy class in polydisc, Cesàro means.

UDC: 517.518

Received: 21.10.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:4, 46–49

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