应用数学2022，Vol.35Issue(2)：249-260,12.
变指数哈代空间沃尔什傅里叶级数(C,α)极大算子
Maximal Operator of (C,α)-Means of Walsh-Fourier Series on Hardy Spaces with Variable Exponents
摘要
Abstract
In this paper,we consider the maximal operator of (C,α)-means of Walsh-Fourier series on Hardy spaces with variable exponents.For 0 ＜ α ≤ 1,0 ≤ t ＜ 1 the boundedness of the maximal operator σα* and conjugate maximal operator (σ)(t),α*'on Hp(.)and Hp(.),q are proved whenever p-＞ 1/(1 + α) and the condition 1/p-1/p+ ＜ 1 holds.As a consequence,we obtain theorems about almost everywhere and norm convergence of the σαnf and (σ)(t),αn f.关键词
(C,α)核/变指数/极大算子/共轭极大算子Key words
(C,α)-kernel/Variable exponent/Maximal operator/Conjugate maximal operator分类
数理科学引用本文复制引用
张学英,张传洲..变指数哈代空间沃尔什傅里叶级数(C,α)极大算子[J].应用数学,2022,35(2):249-260,12.基金项目
Supported by the National Natural Science Foundation of China(11871195) （11871195）
