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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cotlar-Stein lemma and the $Tb$ theorem
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by Y.-S. Han and J. Zhang PDF
Proc. Amer. Math. Soc. 129 (2001), 1697-1703 Request permission

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
  • MR Author ID: 209888
  • 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
  • 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
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1697-1703
  • MSC (2000): Primary 42B20, 42B25
  • DOI: https://doi.org/10.1090/S0002-9939-00-05707-5
  • MathSciNet review: 1814099