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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Restriction and extension of Fourier multipliers between weighted $L^p$ spaces on $\mathbb {R}^n$ and $\mathbb {T}^n$
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by Kenneth F. Andersen and Parasar Mohanty PDF
Proc. Amer. Math. Soc. 137 (2009), 1689-1697 Request permission

Abstract:

Weighted analogues of de Leeuw’s restriction theorem for Fourier multipliers on $L^p(\mathbb {R}^n)$ are obtained. Weighted analogues of related extension theorems for multipliers on $L^p(\mathbb {T})$ are also considered.
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Additional Information
  • Kenneth F. Andersen
  • Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada
  • Email: Ken.Andersen@ualberta.ca
  • Parasar Mohanty
  • Affiliation: Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, U.P. 208016, India
  • Email: parasar@iitk.ac.in
  • Received by editor(s): March 3, 2008
  • Published electronically: December 29, 2008
  • Additional Notes: This research was supported in part by the University of Alberta Faculty of Science Research Allowance
  • Communicated by: Hart F. Smith
  • © Copyright 2008 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 1689-1697
  • MSC (2000): Primary 42B15
  • DOI: https://doi.org/10.1090/S0002-9939-08-09774-8
  • MathSciNet review: 2470827