# 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

@inproceedings{Baramidze2021SharpA, title={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}, author={D. Baramidze}, year={2021} }

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, considered in [47] 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. 2000 Mathematics Subject Classification. 42C10, 42B25.

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