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Lipschitz型Marcinkiewicz积分交换子在非齐型Herz空间上的有界性
引用本文:陈金阳,江秉华,王志平. Lipschitz型Marcinkiewicz积分交换子在非齐型Herz空间上的有界性[J]. 大连海事大学学报(自然科学版), 2010, 36(3)
作者姓名:陈金阳  江秉华  王志平
作者单位:陈金阳,江秉华,CHEN Jinyang,JIANG Binghua(湖北师范学院,数学与统计学院,湖北,黄石,435002);王志平,WANG Zhiping(大连海事大学,数学系,辽宁,大连,116026) 
基金项目:国家自然科学基金资助项目,湖北省教育厅青年项目,湖北师范学院人才引进项目 
摘    要:本文得到Marcinkiewicz积分算子与Lipschitz函数生成的交换子在非齐型Herz空间中的有界性,且结果在经典Lebesgue空间中也是新的.

关 键 词:非双倍测度  Marcinkiewicz积分  Lipschitz函数  齐次Herz空间

Boundedness of commutators with Lipschitz-type Marcinkiewicz integral operators on non-homogeneous on homogeneous Herz space
CHEN Jinyang,JIANG Binghua,WANG Zhiping. Boundedness of commutators with Lipschitz-type Marcinkiewicz integral operators on non-homogeneous on homogeneous Herz space[J]. Journal of Dalian Maritime University, 2010, 36(3)
Authors:CHEN Jinyang  JIANG Binghua  WANG Zhiping
Affiliation:CHEN Jinyang1,JIANG Binghua1,WANG Zhiping2(1.College of Mathematics , Statistics,Hubei Normal University,Huangshi 435002,China,2.Department of Mathematics,Dalian Maritime University,Dalian 116026,China)
Abstract:The paper was Marcinkiewicz integral operators and Lipschitz functions generated by the commutator in the non-homogeneous Herz spaces bounded,and the results in the classical Lebesgue space is also new.
Keywords:non-doubling measures  Marcinkiewicz integral  Lipschitz function  homogeneous Herz space  
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