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

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

Forfatter
Baramidze, Davit; Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George
Sammendrag
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.
Forlag
Springer
Sitering
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)
Med mindre det står noe annet, er denne innførselens lisens beskrevet som Attribution 4.0 International (CC BY 4.0)