SHARP (Hp, Lp) AND (Hp, weak − Lp) TYPE INEQUALITIES OF WEIGHTED MAXIMAL OPERATORS OF T MEANS WITH RESPECT TO VILENKIN SYSTEMS

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https://hdl.handle.net/10037/28394
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Date
2022
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Baramidze, Davit
Abstract
We discuss (Hp, Lp) and (Hp, weak − Lp) type inequalities of weighted maximal operators of T means with respect to the Vilenkin systems with monotone coefficients [44] and prove that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out.
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Publisher
Tbilisi State University
Citation
SHARP (Hp, Lp) AND (Hp, weak − Lp) TYPE INEQUALITIES OF WEIGHTED MAXIMAL OPERATORS OF T MEANS WITH RESPECT TO VILENKIN SYSTEMS
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Copyright 2022 The Author(s)
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Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)