A criterion on weighted 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

DOI:
https://doi.org/10.1090/S0002-9939-00-05637-9

Published electronically:
October 20, 2000

MathSciNet review:
1709746

Full-text PDF

Abstract | References | Similar Articles | Additional Information

In this paper the authors give a criterion on the weighted 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:
https://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