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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2018 Volume 11, Issue 6, Pages 723–732 (Mi jsfu721)

This article is cited in 5 papers

Coefficient multipliers for the Privalov class in a disk

Eugenia G. Rodikova

Bryansk State University, Bezhitskaya, 14, Bryansk, 241036, Russia

Abstract: We obtain exact estimates of the growth and the Taylor coefficients of analytic functions from the Privalov classes in the unit disk. Also we describe coefficient multipliers from the Privalov classes into the Hardy classes.

Keywords: Privalov classes, Taylor coefficients, coefficient multiplier, maximal growth, analytic functions.

UDC: 517.53

Received: 02.05.2018
Received in revised form: 20.07.2018
Accepted: 06.09.2018

Language: English

DOI: 10.17516/1997-1397-2017-11-6-723-732



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