Boundedness of Higher Order Commutators of Fractional Integral Operators on Homogeneous Morrey-Herz Spaces
Received:November 28, 2005  Revised:October 12, 2006
Key Words: higher order commutators   homogeneous Morrey-Herz space   fractional integral operator   maximal fractional operator   BMO$({\bf R}^{n})$.  
Fund Project:the National Natural Science Foundation of China (10571014; 10671158).
Author NameAffiliation
TAO Shuang-ping College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China 
WU Jian-long College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China 
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Abstract:
      Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators ~$T^{m}_{b,l}$ and ~$M^{m}_{b,l}$ generated by fractional integral operators ~$T_l$ and maximal fractional operators ~$M_l$ with function b(x) in BMO(${\mathbf{R}}^{n}$), respectively.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.03.009
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