The martingale hardy type inequality for Marcinkiewicz-Fejér means of two-dimensional conjugate Walsh-Fourier series

被引：0
|
作者：
Ushangi Goginava
机构：
[1] Tbilisi State University,Institute of Mathematics, Faculty of Exact and Natural Sciences
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
Two-dimensional Walsh-Fourier series; martingale Hardy space; Marcinkiewicz-Fejér means; 42C10;
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摘要：
The main aim of this paper is to prove that for any 0 < p ≤ 2/3 there exists a martingale f ∈ Hp such that Marcinkiewicz-Fejér means of the two-dimensional conjugate Walsh-Fourier series of the martingale f is not uniformly bounded in the space Lp.
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页码：1949 / 1958
页数：9
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