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Boundedness of multilinear singular integral operators on Hardy and Herz-type spaces. (English) Zbl 1213.42049
Summary: The authors study a class of multilinear singular integral operators on product of Hardy spaces. The boundedness of another class of multilinear singular integral operators is also discussed on the product of Herz-type spaces. Moreover, as special cases, the corresponding results for multilinear fractional integral operators and multilinear Calderón-Zygmund operators can be obtained, respectively.

MSC:
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B30 \(H^p\)-spaces
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