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Criterion of (Lp, Lr) boundedness for a class of multilinear oscillatory singular integrals

Published online by Cambridge University Press:  22 January 2016

Wengu Chen ,
Guoen Hu  and
Shanzhen Lu
Wengu Chen
Affiliation:
Department of Mathematics, Capital Normal University, Beijing 100037, People’s Republic of China
Guoen Hu
Affiliation:
Department of Mathematics, Beijing Normal University, Beijing 100875, People’s Republic of China
Shanzhen Lu
Affiliation:
Department of Mathematics, Beijing Normal University, Beijing 100875, People’s Republic of China, lusz@bnu.edu.cn
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Abstract.

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In this paper, we consider a kind of multilinear operators related to oscillatory singular integrals with rough kernels and give a criterion of certain boundedness for this kind of operators.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 149 , March 1998 , pp. 33 - 51
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

References

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