Calderón--Zygmund 型算子及其交换子的有界性

刘宗光, 李佳

数学学报 ›› 2010, Vol. 53 ›› Issue (3) : 541-550.

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PDF(411 KB)
数学学报 ›› 2010, Vol. 53 ›› Issue (3) : 541-550. DOI: 10.12386/A2010sxxb0060
论文

Calderón--Zygmund 型算子及其交换子的有界性

    刘宗光, 李佳
作者信息 +

Boundedness of Calderón--Zygmund Type Operators and Their Commutators

    Zong Guang LIU, Jia LI
Author information +
文章历史 +

摘要

本文得到了Calderón--Zygmund型算子及其与BMO函数或Lipschitz函数生成的交换子在Herz 型 Hardy空间上的一些有界性结果.

Abstract

In this paper, the authors establish some boundedness of Calderón--Zygmund type operators and their commutators generated by BMO functions or Lipschitz functions on Herz-type Hardy spaces.

关键词

Calderón--Zygmund 型算子 / 交换子 / Herz 型 Hardy 空间

Key words

Calderón--Zygmund type operator / commutator / Herz-type Hardy spaces

引用本文

导出引用
刘宗光, 李佳. Calderón--Zygmund 型算子及其交换子的有界性. 数学学报, 2010, 53(3): 541-550 https://doi.org/10.12386/A2010sxxb0060
Zong Guang LIU, Jia LI. Boundedness of Calderón--Zygmund Type Operators and Their Commutators. Acta Mathematica Sinica, Chinese Series, 2010, 53(3): 541-550 https://doi.org/10.12386/A2010sxxb0060

参考文献


[1] Berndt R., Atomic Hardy space theory for unbounded singular integrals, Indiana Univ. Math. J., 2006, 55: 1461--1482.

[2] Chang D. C., Li J. F., Xiao J., Weighted scale estimates for Calderón--Zygmund type operators, Contemporary Mathematics, 2007, 446: 61--70.

[3] Li X. W., Yang D. C., Bounedeness of some sublinear operators on Herz spaces, Illinois J. Math., 1996, 40: 484--501.

[4] Lin Y., Sharp maximal function estimates for Calderón--Zygmund type operators and commutators, To appear in Acta Mathematica Scientia (Chinese Series).

[5] Lu S. Z., Yang D. C., The weighted Herz-type Hardy space and its applications, Science in China, Ser. A, 1995, 38: 662--673.

[6] Zhou Y., Boundedness of sublinear operators in Herz-type Hardy spaces, Taiwanese J. Math. 2009, 13: 983--996.

基金

教育部重点基金资助项目(108136)

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