Weak type inequality for the maximal operator of the(C, a) means of two-dimensional Walsh–Fourier series

USHANGI GOGINAVA

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Weak type inequality for the maximal operator of the(C, a) means of two-dimensional Walsh–Fourier series

机译：二维Walsh–Fourier级数（C，a）均值的最大算子的弱类型不等式

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摘要

The main aim of this paper is to prove that the maximal operatoru`,,' of the (C, a) means of the cubical partial sums of the two-dimensional Walsh–Fourierseries is bounded from the Hardy space H2/(2+,) to the space weak-L2/(2+a).

机译：本文的主要目的是证明二维Walsh-Fourier级数的三次部分和的（C，a）均值的最大算子u`，'由Hardy空间H2 /（2+，）到空间弱L2 /（2 + a）。

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《Analysis Mathematica》 |2010年第1期|共31页
作者
USHANGI GOGINAVA;
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正文语种 eng
中图分类数学分析;
关键词
type; inequality; operator;

机译：类型;不平等;经营者;

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专利

1. P级数域的整环上的二维Walsh—Fourier级数的Cesaro可和性 [J] . 朱月萍, 郑维行东北数学：英文版 . 1998,第003期
2. Weak type inequality for the maximal operator of the(C, a) means of two-dimensional Walsh–Fourier series [J] . USHANGI GOGINAVA Analysis Mathematica . 2010,第1期

机译：二维Walsh–Fourier级数（C，a）均值的最大算子的弱类型不等式
3. A weak type inequality for the maximal operator of (C, alpha)-means of Fourier series with respect to the Walsh-Kaczmarz system [J] . Gat G, Goginava U Acta mathematica Hungarica . 2009,第1a2期

机译：关于Walsh-Kaczmarz系统的Fourier级数的（C，alpha）-均值的最大算子的弱类型不等式
4. A weak type inequality for the maximal operator of (C, α)-means of Fourier series with respect to the Walsh-Kaczmarz system [J] . Gy. Gát, U. Goginava Acta Mathematica Hungarica . 2009,第1a2期

机译：关于Walsh-Kaczmarz系统的Fourier级数（C，α）-均值的最大算子的弱类型不等式
5. THE CRITERIA OF WEAK GENERALIZED LOCALIZATION FOR MULTIPLE WALSH-FOURIER SERIES OF FUNCTIONS IN ORLICZ CLASSES [C] . S.K.BLOSHANSKAYA International Conference on Wavelet Analysis and Its Applications(WAA) vol.1; 20030529-31; Chongqing(CN) . 2003

机译：Orlicz类中的多个沃尔什-傅立叶级数函数的弱广义局部化准则
6. Weak -type estimates for singular integral and maximal operators [D] . Janakiraman, Prabhu. 2004

机译：奇异积分和最大运算符的弱型估计
7. On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis [O] . A. Cordoba, R. Fefferman 1977

机译：傅里叶分析中某些类别的极大和乘算子的有界性的等价性
8. The weak type inequality for the maximal operator of the Marcinkiewicz–Fejér means of the two-dimensional Walsh–Fourier series [O] . Goginava Ushangi 2008

机译：二维Walsh-Fourier级数Marcinkiewicz-Fejér均值的极大算子的弱类型不等式

Weak type inequality for the maximal operator of the(C, a) means of two-dimensional Walsh–Fourier series

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