A weighted $L^2$ estimate for the commutator of the Bochner-Riesz operator
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- by Guoen Hu and Shanzhen Lu
- Proc. Amer. Math. Soc. 125 (1997), 2867-2873
- DOI: https://doi.org/10.1090/S0002-9939-97-03882-3
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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.References
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Bibliographic 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