Lipschitz型Marcinkiewicz交换子的弱Herz估计

Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 1115-1121.

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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

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Abstract

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

CLC Number:

42B25

Cite this article

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.

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References

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