齐型空间上的Herz-Morrey空间的线性交换子的有界性

数学季刊 ›› 2010, Vol. 25 ›› Issue (2): 172-181.

齐型空间上的Herz-Morrey空间的线性交换子的有界性

1. College of Mathematics and System Science, Xinjiang University2. College of Mathematics and Information Science, Neijiang Normal University

收稿日期:2006-07-02 出版日期:2010-06-30 发布日期:2023-05-31
作者简介:GAO Wen-hua(1974-), male, native of Jiaozhou, Shandong, an associate professor of Xinjiang University, Ph.D., engages in harmonic analysis and its applications; JIANG Yin-sheng(1949-), male, native of Urumqi, Xinjiang, a professor of Xinjiang University, M.S.D., engages in harmonic analysis.
基金资助:
Supported by Natural Science Foundation of Xinjiang University； Supported by Research Starting Foundation for Doctors of Xinjiang University(BS090102)； Supported by the NNSF of China(10861010)；

Boundedness of Linear Commutators on Herz-Morrey Spaces on Spaces of Homogeneous Type

1. College of Mathematics and System Science, Xinjiang University2. College of Mathematics and Information Science, Neijiang Normal University

Received:2006-07-02 Online:2010-06-30 Published:2023-05-31
About author:GAO Wen-hua(1974-), male, native of Jiaozhou, Shandong, an associate professor of Xinjiang University, Ph.D., engages in harmonic analysis and its applications; JIANG Yin-sheng(1949-), male, native of Urumqi, Xinjiang, a professor of Xinjiang University, M.S.D., engages in harmonic analysis.
Supported by:
Supported by Natural Science Foundation of Xinjiang University； Supported by Research Starting Foundation for Doctors of Xinjiang University(BS090102)； Supported by the NNSF of China(10861010)；

摘要/Abstract

摘要： Under certain weak local size conditions, the boundedness of linear commutators on Herz-Morrey spaces on spaces of homogeneous type are studied. In addition, the boundedness of Hardy-Littlewood maximum commutators on Herz-Morrey spaces on spaces of homogeneous type are obtained.

关键词: homogeneous spaces, Herz spaces, commutators, Hardy-Littlewood maximum
function

Abstract: Under certain weak local size conditions, the boundedness of linear commutators on Herz-Morrey spaces on spaces of homogeneous type are studied. In addition, the boundedness of Hardy-Littlewood maximum commutators on Herz-Morrey spaces on spaces of homogeneous type are obtained.

Key words: homogeneous spaces, Herz spaces, commutators, Hardy-Littlewood maximum
function

中图分类号:

O177

高文华, 江寅生, 龚小兵. 齐型空间上的Herz-Morrey空间的线性交换子的有界性[J]. 数学季刊, 2010, 25(2): 172-181.

GAO Wen-hua, JIANG Yin-sheng, GONG Xiao-bing. Boundedness of Linear Commutators on Herz-Morrey Spaces on Spaces of Homogeneous Type[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(2): 172-181.

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