Pointwise convergence of double Vilenkin-Fejer means

被引：9

作者：

Blahota, I ^{[1
]}

Gát, G ^{[1
]}

机构：

[1] Bessenyei Gyorgy Tanarkepzo Foiskola, Matemat Tanszek, H-4401 Nyiregyhaza, Hungary

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2000年 / 36卷 / 1-2期

关键词：

Vilenkin-like systems; two parameter Cesaro (C; 1)-means; a.e. pointwise convergence;

D O I：

10.1556/SScMath.36.2000.1-2.7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that double Cesaro means of an integrable function on the product of bounded Vilenkin groups with respect to any double Vilenkin-like system converge to the function almost everywhere. The convergence is provided that the quotient of the indices is bounded.

引用

页码：49 / 63

页数：15

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