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Zbl 1142.42004
Fu, Zun Wei; Lin, Yan; Lu, Shan Zhen
$\lambda $-central $BMO$ estimates for commutators of singular integral operators with rough kernels. (English)
[J] Acta Math. Sin., Engl. Ser. 24, No. 3, 373-386 (2008). ISSN 1439-8516; ISSN 1439-7617/e

Summary: The authors establish $\lambda$-central $BMO$ estimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multisublinear operators on the product of central Morrey spaces is discussed. As its special cases, the corresponding results of multilinear Calderón-Zygmund operators and multilinear fractional integral operators can be deduced, respectively.

MSC 2000:: *42B20 Singular integrals, several variables
42B35 Function spaces arising in harmonic analysis

Keywords: $\lambda$-central $BMO$ space; central Morrey space; Calderón-zygmund operator; fractional integral operator; rough kernel

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