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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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Weighted norm inequalities for multilinear Fourier multipliers with critical Besov regularity
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by Mai Fujita and Naohito Tomita PDF
Proc. Amer. Math. Soc. 146 (2018), 555-569 Request permission

Abstract:

In this paper, weighted norm inequalities for multilinear Fourier multipliers with Besov regularity are discussed. As a result, we obtain a limiting case of Hörmander type multiplier theorem for multilinear operators.
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Additional Information
  • Mai Fujita
  • Affiliation: Faculty of Integrated Media, Wakkanai Hokusei Gakuen University, Wakkanai, Hokkaido 097-0013, Japan
  • MR Author ID: 988497
  • Email: fujita@wakhok.ac.jp
  • Naohito Tomita
  • Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
  • MR Author ID: 739282
  • Email: tomita@math.sci.osaka-u.ac.jp
  • Received by editor(s): September 9, 2016
  • Published electronically: October 23, 2017
  • Communicated by: Alexander Iosevich
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 555-569
  • MSC (2010): Primary 42B15, 42B25, 42B35
  • DOI: https://doi.org/10.1090/proc/13680
  • MathSciNet review: 3731691