本征平方函数在变指数Herz及Herz-Hardy空间上的有界性

数学物理学报 ›› 2018, Vol. 38 ›› Issue (4): 716-727.

本征平方函数在变指数Herz及Herz-Hardy空间上的有界性

王立伟¹, 束立生²

1 安徽工程大学数理学院安徽芜湖 241000;
2 安徽师范大学数学计算机科学学院安徽芜湖 241003

收稿日期:2017-08-09 修回日期:2017-12-18 出版日期:2018-08-26 发布日期:2018-08-26
通讯作者: 王立伟,E-mail:wangliwei@ahpu.edu.cn E-mail:wangliwei@ahpu.edu.cn
作者简介:束立生,E-mail:shulsh@mail.ahnu.edu.cn
基金资助:
国家自然科学基金（11771223）

Boundedness of the Intrinsic Square Function on Variable Exponent Herz and Herz-Hardy Spaces

Wang Liwei¹, Shu Lisheng²

1 School of Mathematics and Physics, Anhui Polytechnic University, Anhui Wuhu 241000;
2 School of Mathematics and Computer Science, Anhui Normal University, Anhui Wuhu 241003

Received:2017-08-09 Revised:2017-12-18 Online:2018-08-26 Published:2018-08-26
Supported by:
Supported by the NSFC (11771223)

摘要/Abstract

摘要： 该文证明了本征平方函数S_β在变指数Herz空间K_p（·）^{α（·），q}（Rⁿ）及Herz-Hardy空间HK_p（·）^{α（·），q}（Rⁿ）上的有界性，其中α（·）和p（·）均为变指数.特别地，当α（·）≡ α为常数时，相应结果也是新的.

关键词: 本征平方函数, 变指数Herz空间, 变指数Herz-Hardy空间

Abstract: In this paper, we show that the intrinsic square function S_β is bounded on the variable exponent Herz spaces K_p(·)^{α(·), q}(Rⁿ) and Herz-Hardy spaces HK_p(·)^{α(·), q}(Rⁿ), where α(·) and p(·) are variable. In particular, when α(·) ≡ α is constant, the corresponding main results are also new.

Key words: The intrinsic square function, Variable Herz spaces, Variable Herz-Hardy spaces

中图分类号:

O174.2

王立伟, 束立生. 本征平方函数在变指数Herz及Herz-Hardy空间上的有界性[J]. 数学物理学报, 2018, 38(4): 716-727.

Wang Liwei, Shu Lisheng. Boundedness of the Intrinsic Square Function on Variable Exponent Herz and Herz-Hardy Spaces[J]. Acta mathematica scientia,Series A, 2018, 38(4): 716-727.

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