Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces-Reference-Cited by-同舟云学术

Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces

Published:2021-10-21 Issue:1 Volume:29 Page:153-162
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Tutberidze Giorgi¹

Affiliation:

1. School of Science and Technology , The University of Georgia , 77a Merab Kostava St. , Tbilisi 0128 , Georgia ; and Department of Computer Science and Computational Engineering, UiT - The Arctic University of Norway, P.O. Box 385, N-8505, Narvik, Norway

Abstract

Abstract In this paper, we find a necessary and sufficient condition for the modulus of continuity for which subsequences of Fejér means with respect to Vilenkin systems are bounded from the Hardy space H p

{H_{p}}

to the Lebesgue space L p

{L_{p}}

for all 0 < p < 1 2

{0<p<\frac{1}{2}}

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2021-2106/pdf

Reference33 articles.

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