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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 L^p (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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Published by Springer since January 2013