A weighted estimate for the commutator

of the Bochner-Riesz operator

Authors:
Guoen Hu and Shanzhen Lu

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

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Abstract | References | Similar Articles | Additional Information

Abstract: A weighted 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

DOI:
https://doi.org/10.1090/S0002-9939-97-03882-3

Keywords:
Weighted $L^{2}$ estimate,
commutator,
Bochner-Riesz operator,
maximal operator

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

Article copyright:
© Copyright 1997
American Mathematical Society