A GoodλEstimate for Multilinear Commutator ofSingular Integral on Spaces of Homogeneous Type

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A GoodλEstimate for Multilinear Commutator ofSingular Integral on Spaces of Homogeneous Type Zhang Qian

In this paper, a goodλestimate for the multilinear commutator associated to the singu-lar integral operator on the spaces of homogeneous type is obtained. Under this result, weget the(Lp(X),Lq(X))-boundedness of the multilinear commutator.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/73 Armenian Journal of Mathematics, 3(3) 105-126

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Keywords

Singular Integral; Multilinear Commutator; Lipschitz Space; BMO; Space ofHomogeneous Type; GoodλInequality.

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