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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cotlar-Stein lemma and the $Tb$ theorem


Authors: Y.-S. Han and J. Zhang
Journal: Proc. Amer. Math. Soc. 129 (2001), 1697-1703
MSC (2000): Primary 42B20, 42B25
Published electronically: November 2, 2000
MathSciNet review: 1814099
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Abstract:

In this note we give a generalization of the Cotlar-Stein lemma and using this lemma we give a new proof of a special case of the $Tb$ theorem which, in general, was proved by David, Journé and Semmes.


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Additional Information

Y.-S. Han
Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849-5310
Email: hanyong@mail.auburn.edu

J. Zhang
Affiliation: Academia Sinica, Institute of Mathematics, Beijing, China 100080
Address at time of publication: Department of Mathematics, Washington University, St. Louis, Missouri 63130
Email: zhj@math.wustl.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05707-5
PII: S 0002-9939(00)05707-5
Keywords: Cotlar-Stein lemma, Calder\'on-Zygmund operator, the $Tb$ theorem
Received by editor(s): June 16, 1998
Received by editor(s) in revised form: September 16, 1999
Published electronically: November 2, 2000
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 2000 American Mathematical Society