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August 2007 Boundedness of multilinear singular integral oprators on Hardy and Herz-type spaces
Yan LIN, Shanzhen LU
Hokkaido Math. J. 36(3): 585-613 (August 2007). DOI: 10.14492/hokmj/1277472868

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.

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Yan LIN. Shanzhen LU. "Boundedness of multilinear singular integral oprators on Hardy and Herz-type spaces." Hokkaido Math. J. 36 (3) 585 - 613, August 2007. https://doi.org/10.14492/hokmj/1277472868

Information

Published: August 2007
First available in Project Euclid: 25 June 2010

zbMATH: 1213.42049
MathSciNet: MR2353641
Digital Object Identifier: 10.14492/hokmj/1277472868

Subjects:
Primary: 42B30
Secondary: 42B20

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

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Vol.36 • No. 3 • August 2007
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