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Transactions of the American Mathematical Society
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On the maximal Bochner-Riesz conjecture in the plane for $p<2$

Author(s): Terence Tao
Journal: Trans. Amer. Math. Soc. 354 (2002), 1947-1959.
MSC (2000): Primary 42B15
Posted: January 7, 2002
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Abstract: We give a new estimate on the maximal Bochner-Riesz operator in the plane, for $p<2$; as a corollary we obtain an almost everywhere convergence result for certain Bochner-Riesz means. This work was inspired by discussions with Michael Christ and Chris Sogge.


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Additional Information:

Terence Tao
Affiliation: Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90024
Email: tao@math.ucla.edu

DOI: 10.1090/S0002-9947-02-02942-2
PII: S 0002-9947(02)02942-2
Received by editor(s): January 30, 1998
Posted: January 7, 2002
Copyright of article: Copyright 2002, American Mathematical Society


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