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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 weighted $L^2$ estimate for the commutator of the Bochner-Riesz operator
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by Guoen Hu and Shanzhen Lu PDF
Proc. Amer. Math. Soc. 125 (1997), 2867-2873 Request permission

Abstract:

A weighted $L^{2}$ estimate with power weights is established for the maximal operator associated with the commutator of the Bochner-Riesz operator. An application of this weighted estimate is also given.
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Additional Information
  • Guoen Hu
  • Affiliation: Department of Mathematics, Beijing Normal University, Beijing 100875, People’s Republic of China
  • Address at time of publication: Department of Mathematics, Institute of Information Engineering, Box 1001-47, Zhengzhou, Henan, 450002, People’s Republic of China
  • Shanzhen Lu
  • Affiliation: Department of Mathematics, Beijing Normal University, Beijing 100875, People’s Republic of China
  • Received by editor(s): December 1, 1995
  • Received by editor(s) in revised form: April 1, 1996
  • Additional Notes: This work was supported by the NNSF of China.
  • Communicated by: Christopher D. Sogge
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2867-2873
  • MSC (1991): Primary 42B15
  • DOI: https://doi.org/10.1090/S0002-9939-97-03882-3
  • MathSciNet review: 1396980