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Vietnam Journal of Mathematics 39:4 (2011)
381-390
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Weighted Sharp Boundedness for Multilinear
Commutators of
Singular Integral on Spaces of Homogeneous Type
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Zhu Yusen and Liu Lanzhe
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Department of Mathematics, Hunan
University, Changsha, 410082, P. R. China
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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.
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2000 Mathematics Subject Classification: 42B20, 42B25.
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Keywords: Multilinear
commutator, singular integral operator, space of homogeneous type, BMO, sharp inequality.
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