Journal of the American Mathematical Society

Author(s): Camil Muscalu; Terence Tao; Christoph Thiele
Journal: J. Amer. Math. Soc. 15 (2002), 469-496.
MSC (1991): Primary 42A45, 47H60; Secondary 45P05
Posted: December 10, 2001
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Abstract: We prove

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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Retrieve articles in Journal of the American Mathematical Society with MSC (1991): 42A45, 47H60, 45P05

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
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

DOI: 10.1090/S0894-0347-01-00379-4
PII: S 0894-0347(01)00379-4
Keywords: Fourier analysis, multi-linear operators
Received by editor(s): November 30, 1999
Received by editor(s) in revised form: May 31, 2001
Posted: December 10, 2001
Additional Notes: The second author was supported by NSF Grant \#9706764
The third author was supported by NSF Grant \#9970469
Copyright of article: Copyright 2001, by the authors

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ISSN: 1088-6834(e) ISSN: 0894-0347(p)

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