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Sharp $$\left( H_{p},L_{p}\right) $$ Type Inequalities of Maximal Operators of T Means with Respect to Vilenkin Systems

Mediterranean Journal of Mathematics, 2021
In this paper we prove and discuss some new (Hp, Lp) type inequalities of maximal operators of T means with respect to the Vilenkin systems with monotone coefficients. We also apply these inequalities to prove strong convergence theorems of such T means.
G. Tutberidze
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The Boundedness of the $B$-Riesz Potential in the $B$-Morrey Spaces

Sarajevo Journal of Mathematics
We consider the generalized shift operator ($B$ shift operator),generated by the Laplace-Bessel differential operator $\Delta_{B}=\sum_{i=1}^{k}B_{i}+ \sum_{j=k+1}^{n}\frac {\partial ^2}{\partial x_j^2},$ $B=\left(B_1,\ldots,B_k \right)$,$B_i=\frac ...
Avanshir J. Hasanov, A. K. Narimanov
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Best Constants for Uncentred Maximal Functions

, 1997
Loukas Grafakos, S. Montgomery-Smith
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