Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications

Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications

Abstract We prove and discuss some new H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense. We also apply these results to prove strong summa...

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Bibliographic Details
Main Authors: Lasha Baramidze, Lars-Erik Persson, George Tephnadze, Peter Wall
Format: Article
Language:English
Published: SpringerOpen 2016-10-01
Series:Journal of Inequalities and Applications
Subjects:
inequalities
Vilenkin system
Vilenkin group
Nörlund means
martingale Hardy space
L p $L_{p}$ spaces
Online Access:http://link.springer.com/article/10.1186/s13660-016-1182-1

Internet

http://link.springer.com/article/10.1186/s13660-016-1182-1

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