Some new restricted maximal operators of Fejér means of Walsh-Fourier series

被引：6

作者：

Baramidze, Davit ^{[1
,2
]}

Baramidze, Lasha ^{[3
]}

Perssson, Lars-Erik ^{[4
,5
]}

Tephnadze, George ^{[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

[3] Ivane Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, Chavchavadze Str 1, Tbilisi 0128, Georgia

[4] UiT Arctic Univ Norway, POB 385, N-8505 Narvik, Norway

[5] Karlstad Univ, Dept Math & Comp Sci, S-65188 Karlstad, Sweden

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2023年 / 17卷 / 04期

关键词：

Walsh system; Fejer means; Martingale Hardy space; Maximal operators; Restricted maximal operators; FEJER MEANS; RESPECT; CONVERGENCE; INEQUALITY;

D O I：

10.1007/s43037-023-00300-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive the maximal subspace of natural numbers {n(k) : k >= 0}, such that the restricted maximal operator, defined by sup(k is an element of N) vertical bar sigma F-nk vertical bar on this subspace of Fejer means of Walsh-Fourier series is bounded from the martingale Hardy space H-1/2 to the Lebesgue space L-1/2. The sharpness of this result is also proved.

引用

页数：20

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