Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the maximal Bochner-Riesz conjecture in the plane for $p<2$


Author: Terence Tao
Journal: Trans. Amer. Math. Soc. 354 (2002), 1947-1959
MSC (2000): Primary 42B15
DOI: https://doi.org/10.1090/S0002-9947-02-02942-2
Published electronically: January 7, 2002
MathSciNet review: 1881025
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 42B15

Retrieve articles in all journals with MSC (2000): 42B15


Additional Information

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

DOI: https://doi.org/10.1090/S0002-9947-02-02942-2
Received by editor(s): January 30, 1998
Published electronically: January 7, 2002
Article copyright: © Copyright 2002 American Mathematical Society