The two-dimensional Fej,r means on diagonal Hardy space

被引：0

作者：

Goginava, Ushangi ^{[1
]}

Nagy, Karoly ^{[2
]}

机构：

[1] Ivane Javakhishvili Tbilisi State Univ, Dept Math, Fac Exact & Nat Sci, GE-0128 Tbilisi, Georgia

[2] Coll Nyiregyhaza, Inst Math & Comp Sci, H-4400 Nyiregyhaza, Hungary

来源：

PERIODICA MATHEMATICA HUNGARICA | 2015年 / 70卷 / 02期

关键词：

Walsh group; Walsh system; Pointwise convergence; Fejer means; Two-dimensional system; Hardy space; CESARO SUMMABILITY; WALSH; RESPECT;

D O I：

10.1007/s10998-014-0076-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a weak type inequality for the maximal operator for any . This allows us to reach some inequalities which hold almost everywhere. Moreover, we improve the result of Wade presented in (Proceedings of A. Haar memorial conference, 1987).

引用

页码：248 / 256

页数：9

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