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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A criterion on weighted $L^{p}$ boundedness for rough multilinear oscillatory singular integrals
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by Yong Ding, Shanzhen Lu and Dachun Yang PDF
Proc. Amer. Math. Soc. 129 (2001), 1127-1136 Request permission

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
  • MR Author ID: 213750
  • 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
  • MR Author ID: 317762
  • Email: dcyang@bnu.edu.cn
  • 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
  • © Copyright 2000 American Mathematical Society
  • 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
  • MathSciNet review: 1709746