On the Nörlund means of Vilenkin-Fourier series

2015/04/21 by István Blahota, Blahota, I., Lars‐Erik Persson +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1504.05779

Abstract

In this paper we prove and discuss some new ( H_p,L_p)-type inequalities of weighted maximal operators of Vilenkin-Nörlund means with non-increasing coefficients. These results are the best possible in a special sense. As applications, both some well-known and new results are pointed out in the theory of strong convergence of Vilenkin-Nörlund means with non-increasing coefficients.

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• Maximal operators of T means with respect to the Vilenkin system

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