APPLICATIONS OF MULTI-PARAMETER MARTINGALES IN FOURIER ANALYSIS

被引：0
|
作者：
Weisz, Ferenc [1 ]
机构：
[1] Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, Hungary
来源：
STOCHASTICS AND DYNAMICS | 2011年 / 11卷 / 2-3期
关键词：
Two-parameter martingales; martingale Hardy spaces; atoms; atomic decomposition; interpolation; Walsh functions; Fejer summability; CALDERON-ZYGMUND THEORY; PRODUCT DOMAINS; 2; INDEXES; SERIES; CONVERGENCE; SPACES;
D O I：
10.1142/S0219493711003449
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
With the help of the theory of multi-parameter martingales we prove almost everywhere convergence of the Fejer means of two-dimensional Walsh-Fourier series of f is an element of L log L.
引用
收藏
页码：551 / 568
页数：18
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