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On boundedness of a class of singular integral operator in Banach-valued Hardy spaces. (Chinese. English summary) Zbl 0891.42009

This paper deals with the boundedness of certain singular integrals of convolution type on the Hardy spaces of functions with values in a UMD Banach space. The approach to the problem is the atomic decomposition of such spaces.

MSC:

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