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Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 4, Pages 55–59 (Mi ivm8990)  

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.

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

UDC: 517.518
Received: 21.10.2013

Citation: S. G. Pribegin, “Cesàro means for the functions from the Hardy space in polydisc”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 4, 55–59; Russian Math. (Iz. VUZ), 59:4 (2015), 46–49

Citation in format AMSBIB
\Bibitem{Pri15}
\by S.~G.~Pribegin
\paper Ces\`aro means for the functions from the Hardy space in polydisc
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 4
\pages 55--59
\mathnet{http://mi.mathnet.ru/ivm8990}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 4
\pages 46--49
\crossref{https://doi.org/10.3103/S1066369X15040064}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925815775}


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