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Vietnam Journal of Mathematics 39:4 (2011) 381-390

 

Weighted Sharp Boundedness for Multilinear Commutators of

Singular Integral on Spaces of Homogeneous Type

Zhu Yusen and Liu Lanzhe

Department of Mathematics, Hunan University, Changsha, 410082,  P. R. China

 

 

Abstract. In this paper, we obtain sharp estimates for the multilinear commutators related  to the singular integral operator on the spaces of homogeneous  type. As an application, we obtain a weighted Lp (p>1) inequality and an L log L-type estimate for the  commutator.

 

2000 Mathematics Subject Classification: 42B20, 42B25.

Keywords:  Multilinear commutator, singular integral operator, space of homogeneous  type, BMO, sharp inequality.

 

 

 

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