The decomposition of weighted Herz space on R^n and its applications 被引量：43

The decomposition of weighted Herz space on R^n and its applications

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摘要 The decompositional characterizations of the weighted Herz spaces on Rn are established. Using this decomposition, the boundedness on the weighted Herz spaces for a large class of sublinear operators is studied. The decompositional characterizations of the weighted Herz spaces on Rn are established. Using this decomposition, the boundedness on the weighted Herz spaces for a large class of sublinear operators is studied.

作者陆善镇杨大春

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 1995年第2期147-158,共12页 中国科学：数学（英文版）

基金 Project supported by the National Natural Science Foundation of China.

关键词 WEIGHT unit HERZ SPACE HARDY SPACE SUBLINEAR operator. weight, unit, Herz space, Hardy space, sublinear operator.

分类号 O177 [理学—基础数学]

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1刘宗光.BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRATI ON ONHERZ-TYPE SPACES[J].Acta Mathematica Scientia,2000,20(4):461-470. 被引量：1
2TaoGuiping.BOUNDEDNESS OF MULTILINEAR OPERATORS ON WEIGHTED HERZ TYPE SPACES[J].Analysis in Theory and Applications,2005,21(1):73-89.
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5曹莹莹.高阶交换子在Herz型Hardy空间上的加权有界性[J].安庆师范学院学报（自然科学版）,2009,15(4):11-13.
6孙爱文,束立生.广义分数次积分算子在加权Herz型Hardy空间的有界性[J].纯粹数学与应用数学,2011,27(2):204-209. 被引量：1
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1Qiaoni Li,Shuangping Tao.Boundedness of Multilinear Commutators with Rough Kernels on Morrey-Herz Spaces[J].Analysis in Theory and Applications,2013,29(3):289-307.
2Tang 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
3Jiang Yinsheng and Liu Mingju (Xinjiang University , China).ROUGH OPERATORS AND COMMUTATORS ON HOMOGENEOUS WEIGHTED HERZ SPACES[J].Approximation Theory and Its Applications,2002,18(1):51-57. 被引量：2
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5陆善镇,杨大春.Embedding theorems for Herz spaces[J].Chinese Science Bulletin,1995,40(18):1497-1501.
6XIE Ru-long,SHU Li-sheng.Boundedness of Marcinkiewicz Integral on Weighted Herz Spaces[J].Chinese Quarterly Journal of Mathematics,2008,23(2):228-234.
7Hongbin Wang,Yihong Wu.Commutators of Littlewood-Paley Operators on Herz Spaces with Variable Exponent[J].Analysis in Theory and Applications,2016,32(2):149-163.
8朱月萍,郑维行.Besov spaces and Herz spaces on local fields[J].Science China Mathematics,1998,41(10):1051-1060. 被引量：2
9陆善镇,吴强,杨大春.Boundedness of commutators on Hardy type spaces[J].Science China Mathematics,2002,45(8):984-997. 被引量：11
10FU Zunwei,LIU Zongguang,LU Shanzhen.Boundedness for commutators of fractional Hardy operators on Herz spaces[J].Progress in Natural Science:Materials International,2007,17(1):20-25. 被引量：5

Science China Mathematics

1995年第2期

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The decomposition of weighted Herz space on R^n and its applications 被引量：43

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