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A criterion on weighted  boundedness for rough multilinear oscillatory singular integrals
Author(s):
Yong
Ding;
Shanzhen
Lu;
Dachun
Yang
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1127-1136.
MSC (2000):
Primary 42B20, 42B99
Posted:
October 20, 2000
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Abstract:
In this paper the authors give a criterion on the weighted  boundedness of the multilinear oscillatory singular integral operators with rough kernels.
References:
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 boundedness for higher order commutators of oscillatory singular integrals, Tôhoku Math. J. 48 (1996), 437-449. MR 98f:42011 - [5]
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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:
10.1090/S0002-9939-00-05637-9
PII:
S 0002-9939(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
Posted:
October 20, 2000
Additional Notes:
This project was supported by NNSF and DPFIHE of China.
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2000,
American Mathematical Society
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