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).
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页码：248 / 256
页数：9
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