SOME NEW weak-(Hp-Lp) TYPE INEQUALITIES FOR WEIGHTED MAXIMAL OPERATORS OF FEJER MEANS OF WALSH-FOURIER SERIES

被引:0
作者
Baramidze, D. [1 ,2 ]
Tephnadze, G. [1 ]
机构
[1] Univ Georgia, Sch Sci & Technol, 77a Merab Kostava St, Tbilisi 0128, Georgia
[2] UiT Arctic Univ Norway, Dept Comp Sci & Computat Engn, POB 385, N-8505 Narvik, Norway
基金
美国国家科学基金会;
关键词
Walsh system; Fejer mean; martingale Hardy space; maximal operator; weighted maximal operator; VILENKIN; CONVERGENCE; RESPECT;
D O I
10.1007/s10474-023-01384-w
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce some new weighted maximal operators of the Fejer means of the Walsh-Fourier series. We prove that for some "optimal" weights these new operators are bounded from the martingale Hardy space H-p(G)to the space weak-L-p(G), for 0 < p <1/2. Moreover, we also prove sharpness of this result. As a consequence we obtain some new and well-known results
引用
收藏
页码:267 / 283
页数:17
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