Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means

Permanent link
https://hdl.handle.net/10037/29889
DOI
https://doi.org/10.1186/s13660-023-02970-w
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Date
2023-05-04
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Baramidze, Davit; Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George
Abstract
We prove and discuss some new weak type (1, 1) inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means. As applications, both some well-known and new inequalities are pointed out.
Publisher
Springer
Citation
Baramidze, Nadirashvili, Persson, Tephnadze. Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means. Journal of Inequalities and Applications. 2023;2023(1)
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Copyright 2023 The Author(s)
Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)