类奇异积分和交换子在广义Morrey空间上的有界性

数学季刊 ›› 2006, Vol. 21 ›› Issue (2): 288-292.

类奇异积分和交换子在广义Morrey空间上的有界性

Department of Mathematics, Jiaozuo University, Jiaozuo 454003, China

收稿日期:2004-10-12 出版日期:2006-06-30 发布日期:2023-12-12
作者简介:WANG Yue-shan(1962-),male,native of Jiaozuo,Henan,a professor of Jiaozuo University, Ph.D.,engages in harmonic analysis and PDE.
基金资助:
Supported by Henan Youth Backone Teacher’s of Colleges and Universities Founded Projects(2004189)；

The Boundedness of a Class of Singular Integrals and Their Commutators on Generalized Morrey Spaces

Department of Mathematics, Jiaozuo University, Jiaozuo 454003, China

Received:2004-10-12 Online:2006-06-30 Published:2023-12-12
About author:WANG Yue-shan(1962-),male,native of Jiaozuo,Henan,a professor of Jiaozuo University, Ph.D.,engages in harmonic analysis and PDE.
Supported by:
Supported by Henan Youth Backone Teacher’s of Colleges and Universities Founded Projects(2004189)；

摘要/Abstract

摘要： The generalized Morrey spaces are introduced under the hypothesis that Rn is endowed with the general parabolic metric , and the boundedness properties are established in generalized Morrey spaces for a class of singular integral operators, which include Calderon-Zygmund singular integrals and their commutators with BMO.

关键词: singular integral, commutator, Morrey spaces

Abstract: The generalized Morrey spaces are introduced under the hypothesis that Rn is endowed with the general parabolic metric , and the boundedness properties are established in generalized Morrey spaces for a class of singular integral operators, which include Calderon-Zygmund singular integrals and their commutators with BMO.

Key words: singular integral, commutator, Morrey spaces

中图分类号:

O175.2

王月山, 王学敏. 类奇异积分和交换子在广义Morrey空间上的有界性[J]. 数学季刊, 2006, 21(2): 288-292.

WANG Yue-shan, WANG Xue-min. The Boundedness of a Class of Singular Integrals and Their Commutators on Generalized Morrey Spaces[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(2): 288-292.

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