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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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Multi-linear operators given by singular multipliers
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by Camil Muscalu, Terence Tao and Christoph Thiele
J. Amer. Math. Soc. 15 (2002), 469-496
DOI: https://doi.org/10.1090/S0894-0347-01-00379-4
Published electronically: December 10, 2001
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Abstract:

We prove $L^p$ estimates for a large class of multi-linear operators, which includes the multi-linear paraproducts studied by Coifman and Meyer (1991), as well as the bilinear Hilbert transform and other operators with large groups of modulation symmetries.
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Bibliographic Information
  • Camil Muscalu
  • Affiliation: Department of Mathematics, Brown University, Providence, Rhode Island 02912
  • Address at time of publication: Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095-1555
  • Email: camil@math.brown.edu, camil@math.ucla.edu
  • Terence Tao
  • Affiliation: School of Mathematics, University of New South Wales, Sydney, New South Wales 2052, Australia
  • Address at time of publication: Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095-1555
  • MR Author ID: 361755
  • ORCID: 0000-0002-0140-7641
  • Email: tao@math.ucla.edu
  • Christoph Thiele
  • Affiliation: Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095-1555
  • Email: thiele@math.ucla.edu
  • Received by editor(s): November 30, 1999
  • Received by editor(s) in revised form: May 31, 2001
  • Published electronically: December 10, 2001
  • Additional Notes: The second author was supported by NSF Grant #9706764
    The third author was supported by NSF Grant #9970469
  • © Copyright 2001 by the authors
  • Journal: J. Amer. Math. Soc. 15 (2002), 469-496
  • MSC (1991): Primary 42A45, 47H60; Secondary 45P05
  • DOI: https://doi.org/10.1090/S0894-0347-01-00379-4
  • MathSciNet review: 1887641