Boundedness of Marcinkiewicz Integral on Weighted Herz Spaces

Boundedness of Marcinkiewicz Integral on Weighted Herz Spaces

下载PDF

导出

摘要 In this paper, it is proved that the Marcinkiewicz integral operator μΩ is bounded on Kq^α,p（ω1;ω2）.

作者 XIE Ru-long SHU Li-sheng

机构地区 College of Mathematics and Computer Science Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第2期228-234,共7页 数学季刊（英文版）

基金 NSF of China(10371087) the NSF of Education Committeeof Anhui Province(KJ2007A009) the NSF of Anhui Province(07021019)

关键词 Marcinkiewicz integral weighted Herz space A1 weight Marcinkiewicz积分加权 Herz空间有界性

分类号 O174.2 [理学—基础数学]

引文网络
相关文献

参考文献1

1陈冬香,陈杰诚.带粗糙核的Marcinkiewicz积分算子在Herz空间的有界性(英文)[J].数学进展,2005,34(5):591-599. 被引量：18

二级参考文献2

1胡国恩,陆善镇,杨大春.弱Herz空间的应用(英文)[J].数学进展,1997,26(5):417-428. 被引量：26
2Yong Ding Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China Dashan Fan Department of Mathematics, Anhui University and University of Wisconsin-Milwaukee. MW 53201 USA Yibiao Pan Department of Mathematics, University of Pittsburgh. Pittsburgh. Pennsylvania 15260. USA.L^p-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels[J].Acta Mathematica Sinica,English Series,2000,16(4):593-600. 被引量：89

共引文献17

1陶双平,司颖华.带粗糙核的Marcinkiewicz积分算子在齐次Morrey-Herz空间的有界性[J].西北师范大学学报（自然科学版）,2007,43(1):1-7. 被引量：7
2Lisheng Shu,Rulong Xie.CONTINUITY OF MARCINKIEWICZ INTEGRALS ON HOMOGENEOUS MORREY-HERZ SPACES[J].Analysis in Theory and Applications,2007,23(3):201-212. 被引量：2
3陶双平,武江龙.齐次Morrey-Herz空间上粗糙核高阶交换子的有界性[J].数学进展,2007,36(5):607-616. 被引量：12
4陈辉.带粗糙核的Marcinkiewicz积分算子在加权Herz空间中的有界性(英文)[J].新疆大学学报（自然科学版）,2008,25(1):50-54.
5张婧.非倍测度条件下Marcinkiewicz积分在Herz空间中的有界性[J].新疆大学学报（自然科学版）,2008,25(2):150-155. 被引量：3
6Xiangzheng Yang Xiaoli Chen Yuqing Liu.CBMO ESTIMATES FOR MARCINKIEWICZ INTEGRALS ON HOMOGENEOUS MORREY-HERZ SPACES[J].Analysis in Theory and Applications,2008,24(3):271-279. 被引量：1
7陶双平,司颖华.带粗糙核的Marcinkiewicz积分交换子在齐次Morrey-Herz空间上的有界性[J].兰州大学学报（自然科学版）,2008,44(6):101-106. 被引量：11
8赵自强,牧少伯,陈辉.Marcinkiewicz积分交换子的加权BMO估计[J].河南教育学院学报（自然科学版）,2009,18(3):7-9. 被引量：1
9肖强.具有粗糙核Marcinkiewicz积分交换子的Lipschitz估计[J].兰州理工大学学报,2010,36(4):126-128.
10肖强,司颖华.带粗糙核的Marcinkiewicz积分交换子在加权Morrey-Herz空间上的有界性[J].商丘师范学院学报,2010,26(9):17-23.

1WANG Hong Bin LIU Zong Guang.The Hardy Spaces Estimates for the Commutator of Marcinkiewicz Integral[J].Journal of Mathematical Research and Exposition,2009,29(1):137-145. 被引量：2
2Hu Guoen (University of Information Engineering, China).L^p(R^n) BOUNDEDNESS FOR THE MARCINKIEWICZ INTEGRAL[J].Approximation Theory and Its Applications,2002,18(4):93-100. 被引量：2
3Zhang Pu,Wu Huoxiong.WEAK TYPE（H^1 ,L^1） ESTIMATE FOR COMMUTATOR OF MARCINKIEWICZ INTEGRAL[J].Applied Mathematics(A Journal of Chinese Universities),2005,20(4):455-461. 被引量：2
4Zeng Yan SI,Li Na WANG,Yin Sheng JIANG.Fractional Type Marcinkiewicz Integral on Hardy Spaces[J].Journal of Mathematical Research and Exposition,2011,31(2):233-241.
5Tang Lin (1) , Yang Dachun (1).BOUNDEDNESS OF ROUGH SINGULAR INTEGRALS AND THEIR COMMUTATORS ON INHOMOGENEOUS HERZ SPACES[J].Analysis in Theory and Applications,1999,15(2):36-54. 被引量：2
6胡国恩,陆善镇,燕敦验.L^p(R^m× R^n) boundedness for the Marcinkiewicz integral on product spaces[J].Science China Mathematics,2003,46(1):75-82. 被引量：7
7Tan Changmei(Bejing Normal University, China).LITTLEWOOD-PALEY OPERATORS AND MARCINKIEWICZ INTEGRAL ON GENERALIZED CAMPANATO SPACES[J].Analysis in Theory and Applications,1995,11(4):35-44. 被引量：1
8Jianglong Wu,Qingguo Liu.Boundedness for Multilinear Commutators of Marcinkiewicz Integral on Morrey-Herz Spaces with Non Doubling Measures[J].Analysis in Theory and Applications,2013,29(1):62-71.
9Hu Guoen Institute of Information Engineering, China Department of Mathematics Institute of Information Engineering Zhengzhou, Henan, 450002..WEAK TYPE(1,1)BOUNDS FOR A MARCINKIEWICZ INTEGRAL[J].Analysis in Theory and Applications,1994,10(2):54-66.
10陆善镇,杨大春.Embedding theorems for Herz spaces[J].Chinese Science Bulletin,1995,40(18):1497-1501.

Chinese Quarterly Journal of Mathematics

2008年第2期

浏览历史

内容加载中请稍等...

Boundedness of Marcinkiewicz Integral on Weighted Herz Spaces

参考文献1

二级参考文献2

共引文献17

相关作者

相关机构

相关主题

浏览历史