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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Endpoint estimates for bilinear oscillatory integral operators related to restriction to the cone
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by Jungjin Lee PDF
Trans. Amer. Math. Soc. 363 (2011), 763-800 Request permission

Abstract:

We prove an endpoint estimate for oscillatory integral operators whose phase function satisfies the cinematic curvature condition. It is a generalization of a result due to Tao (2001).
References
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Additional Information
  • Jungjin Lee
  • Affiliation: Department of Mathematics, Pohang University of Science and Technology, Hyoja-dong Nam-gu, Pohang 790-784, Gyungbuk, Korea
  • Address at time of publication: Korea Institute for Advanced Study, 207-43 Cheongryangri 2-dong Dongdaemun-gu, Seoul 130-722, Korea
  • Email: leejj@kias.re.kr
  • Received by editor(s): March 22, 2009
  • Published electronically: September 20, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 763-800
  • MSC (2010): Primary 42B20, 35S30
  • DOI: https://doi.org/10.1090/S0002-9947-2010-05286-9
  • MathSciNet review: 2728585