Lipschitz型Marcinkiewicz交换子的弱Herz估计

数学物理学报 ›› 2011, Vol. 31 ›› Issue (4): 1115-1121.

Lipschitz型Marcinkiewicz交换子的弱Herz估计

陈金阳¹, 李亮², 马柏林³

1.湖北师范学院数学与统计学院湖北黄石 435002|2.伊犁师范学院数学系新疆伊宁 835000|3.嘉兴学院数学与信息工程学院浙江嘉兴 |314200

收稿日期:2009-11-23 修回日期:2010-10-08 出版日期:2011-08-25 发布日期:2011-08-25
基金资助:
国家自然科学基金(10771054)、湖北省教育厅青年项目(Q20102508)、湖北师范学院人才引进项目(2008F08)、湖北师范学院创新团队项目和新疆高校科研计划项目(XJEDU2008S58)资助

Weak Estimates for Marcinkiewicz Commutators with Lipschitz Functions on Herz Space

CHEN Jin-Yang¹, LI Liang², MA Bai-Lin³

1.College of Mathematics and Statistics, Hubei Normal University, Hubei |Huangshi 435002|2.Department of Mathematics, Yili Normal University, Xinjiang Yining 835000|3.College of Mathematics and Information Engineering, Jiaxing University, Zhejiang Jiaxing 314200

Received:2009-11-23 Revised:2010-10-08 Online:2011-08-25 Published:2011-08-25
Supported by:
国家自然科学基金(10771054)、湖北省教育厅青年项目(Q20102508)、湖北师范学院人才引进项目(2008F08)、湖北师范学院创新团队项目和新疆高校科研计划项目(XJEDU2008S58)资助

摘要/Abstract

摘要：

该文证明了一类粗糙核Marcinkiewicz积分与Lipschitz 函数生成的交换子在Herz-Hardy空间到弱Herz 空间中的有界性.

关键词: Marcinkiewicz~积分, Lipschitz 函数, 弱Herz 空间

Abstract:

The paper proves that a class of commutors generated by Lipschitz functions and Marcinkiewicz integrals with rough kernels is bounded from weak Herz space to Herz-type Hardy space.

Key words: Marcinkiewicz integral, Lipschitz function, Weak Herz space

中图分类号:

42B25

陈金阳, 李亮, 马柏林. Lipschitz型Marcinkiewicz交换子的弱Herz估计[J]. 数学物理学报, 2011, 31(4): 1115-1121.

CHEN Jin-Yang, LI Liang, MA Bai-Lin. Weak Estimates for Marcinkiewicz Commutators with Lipschitz Functions on Herz Space[J]. Acta mathematica scientia,Series A, 2011, 31(4): 1115-1121.