A NOTE ON MARCINKIEWICZ INTEGRALS WITH H^1 KERNELS 被引量：7

A NOTE ON MARCINKIEWICZ INTEGRALS WITH H^1 KERNELS

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摘要 This paper shows that for Ω∈ H1(Sn-1), Marcinkiewicz integral operator μΩ is Lp(Rn) bounded for 1 < p <∞, which improves some known results. This paper shows that for Ω∈ H1(Sn-1), Marcinkiewicz integral operator μΩ is Lp(Rn) bounded for 1 < p <∞, which improves some known results.

作者徐罕陈杰诚应益明

机构地区 Department of Information & Computing Science Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2003年第1期133-138,共6页 数学物理学报（B辑英文版）

基金 Supported by 973 project, NSFZJ and the Education Dept of Zhejiang Province.

关键词 Marcinkiewicz integral rotation method Hardy space Marcinkiewicz integral, rotation method, Hardy space

分类号 O177 [理学—基础数学]

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参考文献20

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同被引文献13

1CHEN Jiecheng, DING Yong & FAN Dashan Department of Mathematics, Zhejiang University (Xixi Campus), Hangzhou 310028, China,School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China,Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee WI 53201, USA,Department of Mathematics, Central China Normal University, Wuhan 430074, China.Littlewood-Paley operators with variable kernels[J].Science China Mathematics,2006,49(5):639-650. 被引量：4
2CHEN Qionglei & ZHANG Zhifei Department of Mathematics, Zhejiang University, Hangzhou 310028, China,Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Boundedness of a class of super singular integral operators and the associated commutators[J].Science China Mathematics,2004,47(6):842-853. 被引量：7
3DING Yong,LI Ran.An integral estimate of Bessel function and its application[J].Science China Mathematics,2008,51(5):897-906. 被引量：4
4ChenDaning,ChenJiecheng,FanDashan.ROUGH SINGULAR INTEGRAL OPERATORS ON HARDY- SOBOLEV SPACES[J].Applied Mathematics(A Journal of Chinese Universities),2005,20(1):1-9. 被引量：3
5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
6Lisheng 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
7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
8ZHANG Chun-jie,QIAN Rui-rui.A note on the Marcinkiewicz integral operators on F_p^(α,q)[J].Journal of Zhejiang University-Science A(Applied Physics & Engineering),2007,8(12):2037-2040. 被引量：3
9CHEN Jie-cheng YU Xiao ZHANG Yan-dan WANG Hui.Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces[J].Applied Mathematics(A Journal of Chinese Universities),2008,23(4):420-430. 被引量：2
10伍火熊,许建开.ROUGH MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON PRODUCT DOMAINS[J].Acta Mathematica Scientia,2009,29(2):294-304. 被引量：6

引证文献7

1ZHANG Chun-jie,QIAN Rui-rui.A note on the Marcinkiewicz integral operators on F_p^(α,q)[J].Journal of Zhejiang University-Science A(Applied Physics & Engineering),2007,8(12):2037-2040. 被引量：3
2Xiangzheng 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
3Chun Jie ZHANG,Ying YOU.A New Class of Weights Adapted to Rough Singular Integrals and Marcinkiewicz Integrals[J].Acta Mathematica Sinica,English Series,2009,25(8):1275-1288. 被引量：3
4WANG Hui,ZHANG Chun-jie.A note on parameterized Marcinkiewicz integrals with variable kernels[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(3):315-320.
5张纯洁.平方函数的加权及向量值不等式[J].数学学报（中文版）,2010,53(4):741-750. 被引量：1
6刘风,伍火熊,张代清.沿复合曲线的粗糙核参数型Marcinkiewicz积分算子的有界性[J].数学物理学报（A辑）,2014,34(4):1026-1039.
7刘风,徐秀荣,张婧.沿Van der Coupt型曲面的粗糙核参数型Marcinkiewicz积分算子的有界性[J].数学物理学报（A辑）,2017,37(1):38-53.

二级引证文献7

1Chun Jie ZHANG,Ying YOU.A New Class of Weights Adapted to Rough Singular Integrals and Marcinkiewicz Integrals[J].Acta Mathematica Sinica,English Series,2009,25(8):1275-1288. 被引量：3
2张纯洁.平方函数的加权及向量值不等式[J].数学学报（中文版）,2010,53(4):741-750. 被引量：1
3Chunjie Zhang.BMO BOUNDEDNESS FOR BANACH SPACE VALUED SINGULAR INTEGRALS[J].Analysis in Theory and Applications,2011,27(3):278-287.
4张纯洁.Marcinkiewicz积分的一个双权有界不等式[J].高校应用数学学报（A辑）,2011,26(3):312-316.
5王慧,陈杰诚.一类广义Marcinkiewicz积分算子在乘积空间上的加权有界性[J].高校应用数学学报（A辑）,2011,26(3):317-328. 被引量：1
6王立伟,瞿萌,范国良.齐次Morrey-Herz空间中多线性交换子的中心BMO估计[J].山东大学学报（理学版）,2012,47(12):82-87.
7YABUTA Kz.Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces[J].Applied Mathematics(A Journal of Chinese Universities),2015,30(4):418-446. 被引量：6

1林道荣.几类k阶Stein函数的L^p模估计[J].苏州大学学报（自然科学版）,2003,19(1):21-27. 被引量：4
2Cuilan Wu.BOUNDEDNESS OF COMMUTATORS FOR MARCINKIEWICZ INTEGRALS ON WEIGHTED HERZ-TYPE HARDY SPACES[J].Analysis in Theory and Applications,2011,27(4):365-376. 被引量：1
3Chun Jie ZHANG,Ying YOU.A New Class of Weights Adapted to Rough Singular Integrals and Marcinkiewicz Integrals[J].Acta Mathematica Sinica,English Series,2009,25(8):1275-1288. 被引量：3
4Hui Xia MO,Shan Zhen LU.Two Operators Related to Marcinkiewicz Integrals[J].Acta Mathematica Sinica,English Series,2009,25(10):1617-1634. 被引量：1
5Huo Xiong WU Jian Kai XU.On Rough Marcinkiewicz Integrals along Surfaces[J].Acta Mathematica Sinica,English Series,2010,26(4):717-730.
6孙凤刚,魏凤英.幂平均Bernstein函数族[J].乐山师范学院学报,2006,21(12):6-8.
7林道荣.k阶Stein函数的有界性[J].纯粹数学与应用数学,2003,19(2):140-144.
8Yan LIN,Mei XU.Endpoint Estimates for Marcinkiewicz Integrals on Weighted Weak Hardy Spaces[J].Acta Mathematica Sinica,English Series,2015,31(3):430-444. 被引量：3
9SHI Xian-liang,SUN Jie.Boundedness of parammetric Marcinkiewicz integrals on weighted Hardy spaces[J].Applied Mathematics(A Journal of Chinese Universities),2015,30(3):253-262.
10Leslie C.CHENG.L^p Boundedness of Marcinkiewicz Integrals with H^1 Kernels[J].Acta Mathematica Sinica,English Series,2008,24(6):1031-1038.

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A NOTE ON MARCINKIEWICZ INTEGRALS WITH H^1 KERNELS 被引量：7

参考文献20

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