Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A criterion on weighted $L^{p}$ boundedness for rough multilinear oscillatory singular integrals


Authors: Yong Ding, Shanzhen Lu and Dachun Yang
Journal: Proc. Amer. Math. Soc. 129 (2001), 1127-1136
MSC (2000): Primary 42B20, 42B99
Published electronically: October 20, 2000
MathSciNet review: 1709746
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Abstract:

In this paper the authors give a criterion on the weighted $L^{p}$ boundedness of the multilinear oscillatory singular integral operators with rough kernels.


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Additional Information

Yong Ding
Affiliation: Department of Mathematics, Beijing Normal University, Beijing, 100875, People’s Republic of China
Email: dingy@bnu.edu.cn

Shanzhen Lu
Affiliation: Department of Mathematics, Beijing Normal University, Beijing, 100875, People’s Republic of China
Email: lusz@bnu.edu.cn

Dachun Yang
Affiliation: Department of Mathematics, Beijing Normal University, Beijing, 100875, People’s Republic of China
Email: dcyang@bnu.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05637-9
Keywords: Multilinear operator, oscillatory singular integral, rough kernel, BMO, $A_{p}$ weight
Received by editor(s): April 29, 1999
Received by editor(s) in revised form: July 2, 1999
Published electronically: October 20, 2000
Additional Notes: This project was supported by NNSF and DPFIHE of China.
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 2000 American Mathematical Society