Hokkaido Mathematical Journal

LIN Yan, LU Shanzhen,

Boundedness of multilinear singular integral oprators on Hardy and Herz-type spaces.

Hokkaido Mathematical Journal, 36 (2007) pp.585-613

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Abstract

In this paper, 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 product of Herz-type spaces. Moreover, as their special cases, the corresponding results of multilinear fractional integral operator and multilinear Calder\'on-Zygmund operator can be obtained, respectively.

MSC(Primary)42B30
MSC(Secondary)42B20
Uncontrolled Keywordsmultilinear singular integral operator, Hardy space, Herz space, Herz-type Hardy space, Multilinear Calder\'on-Zygmund operator