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arXiv:2106.11836 [math.CA]AbstractReferencesReviewsResources

Sharp $(H_p,L_p)$ and $(H_p,\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to Vilenkin systems

Davit Baramidze

Published 2021-05-29Version 1

We discuss $(H_p,L_p)$ and $(H_p,\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to the Vilenkin systems with monotone coefficients, considered in \cite{tut4} 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.

Comments: arXiv admin note: substantial text overlap with arXiv:2101.09196, arXiv:1504.05974 by other authors
Categories: math.CA
Subjects: 42C10, 42B25
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