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有变量核的分数次积分算子交换子的CBMO估计(英文)
引用本文:王立伟,束立生,瞿萌. 有变量核的分数次积分算子交换子的CBMO估计(英文)[J]. 数学季刊, 2012, 0(1): 68-73
作者姓名:王立伟  束立生  瞿萌
作者单位:School of Mathematics and Physics,Anhui Polytechnic University;School of Mathematics and Computer Science,Anhui Normal University
基金项目:Supported by the Anhui Polytechnic University Foundation for Recruiting Talent(2011YQQ004);Supported by the Provincial Natural Science Research Project of Anhui Colleges(KJ2011A032);Supported by the Young Teachers Program of Anhui Province(2006jql042);Supported by the Grant for Younth of Anhui Polytechnic University (2010YQ047)
摘    要:In this paper,the authors introduce the central bounded oscillation space CBMO q (R n),let [b,T,α ] be the commutator generated by fractional integral operators with variable kernels and CBMO function,we establish the boundedness of [b,T,α ] on homogeneous Morrey-Herz spaces.

关 键 词:CBMO  Morrey-Herz space  fractional integral  commutator  variable kernel

CBMO Estimates for Commutators of Fractional Integral Operators with Variable Kernels
WANG Li-wei,SHU Li-sheng,QU Meng. CBMO Estimates for Commutators of Fractional Integral Operators with Variable Kernels[J]. Chinese Quarterly Journal of Mathematics, 2012, 0(1): 68-73
Authors:WANG Li-wei  SHU Li-sheng  QU Meng
Affiliation:1.School of Mathematics and Physics,Anhui Polytechnic University,Wuhu 241000,China;2.School of Mathematics and Computer Science,Anhui Normal University,Wuhu 241003,China)
Abstract:In this paper,the authors introduce the central bounded oscillation space CBMO q (R n),let [b,T,α ] be the commutator generated by fractional integral operators with variable kernels and CBMO function,we establish the boundedness of [b,T,α ] on homogeneous Morrey-Herz spaces.
Keywords:CBMO  Morrey-Herz space  fractional integral  commutator  variable kernel
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