Boundedness for Maximal Bochner-Riesz Operator and Commutator on Generalized Morrey Space 被引量：2

Boundedness for Maximal Bochner-Riesz Operator and Commutator on Generalized Morrey Space

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摘要 In this paper,we have obtained the boundedness of maximal Bochner-Riesz operator on generalized Morrey space.Also,it is right for its commutator.

作者 ZHU Shi-hong

机构地区 Department of Mathematics and Computer Technology

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第4期535-542,共8页 数学季刊（英文版）

基金 Supported by the Natural Science Foundation of Tongling College（2007tlxykj006） Supported by the Natural Science Foundation of Anhui Province（KJ2010B460）

关键词 COMMUTATOR generalized Morrey space Bochner-Riesz operator 整流器；概括 Morrey 空间；Bochner-Riesz 操作员；

分类号 O174.2 [理学—基础数学]

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参考文献3

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共引文献18

1朱诗红.广义分数次积分算子高阶交换子的弱Hardy空间有界性[J].铜陵学院学报,2007,6(1):79-80.
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同被引文献1

1Lan Zhe LIU,Shan Zhen LU.Continuity for Maximal Multilinear Bochner-Riesz Operators on Hardy and Herz Hardy Spaces[J].Acta Mathematica Sinica,English Series,2006,22(1):69-76. 被引量：8

引证文献2

1朱诗红.极大多线性Bochner-Riesz算子的Morrey空间估计[J].应用数学学报,2013,36(4):631-639. 被引量：1
2朱诗红.R^n空间中的多线性Bochner-Riesz算子连续性[J].应用泛函分析学报,2016,18(2):130-140.

二级引证文献1

1朱诗红.极大多线性Bochner-Riesz算子的Morrey空间有界性[J].应用数学学报,2016,39(1):153-160.

1Xiao YU,Xiang Xing TAO.Boundedness for a Class of Generalized Commutators on λ-Central Morrey Space[J].Acta Mathematica Sinica,English Series,2013,29(10):1917-1926. 被引量：4
2YasuoKOMORI.Calderón—Zygmund Operators on the Predual of a Morrey Space[J].Acta Mathematica Sinica,English Series,2003,19(2):297-302. 被引量：5
3Lingli Hu Dongxiang Chen.SOME ESTIMATES OF MAXIMAL COMMUTATORS FOR BOCHNER-RIESZ OPERATOR ON MORREY SPACES[J].Analysis in Theory and Applications,2010,26(1):76-83.
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6Shanshan Zhang,Lisheng Shu.Weighted Lipschitz Estimate for Commutator of Bochner-Riesz Operators on Weighted Morrey Spaces[J].Analysis in Theory and Applications,2014,30(2):151-163.
7Lan Zhe LIU,Shan Zhen LU.Continuity for Maximal Multilinear Bochner-Riesz Operators on Hardy and Herz Hardy Spaces[J].Acta Mathematica Sinica,English Series,2006,22(1):69-76. 被引量：8
8YU Xiao,ZHANG Hui-hui,ZHAO Guo-ping.Weighted boundedness of some integral operators on weighted λ-central Morrey space[J].Applied Mathematics(A Journal of Chinese Universities),2016,31(3):331-342. 被引量：5
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10Ru Long XIE,Li Sheng SHU,Qian Xiang ZHANG.Boundedness for Multilinear Commutators of Bochner-Riesz Operator[J].Journal of Mathematical Research and Exposition,2011,31(6):1074-1080. 被引量：2

Chinese Quarterly Journal of Mathematics

2010年第4期

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