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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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A remark on the Hausdorff-Young inequality
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by Per Sjölin PDF
Proc. Amer. Math. Soc. 123 (1995), 3085-3088 Request permission

Abstract:

We shall prove a sharp Hausdorff-Young inequality of Beckner type for functions on $\mathbb {T}$ with small support.
References
  • Mats E. Andersson, Local variants of the Hausdorff-Young inequality, Analysis, algebra, and computers in mathematical research (Luleå, 1992) Lecture Notes in Pure and Appl. Math., vol. 156, Dekker, New York, 1994, pp. 25–34. MR 1280935
  • K. I. Babenko, An inequality in the theory of Fourier integrals, Izv. Akad. Nauk SSSR Ser. Mat. 25 (1961), 531–542 (Russian). MR 0138939
  • William Beckner, Inequalities in Fourier analysis, Ann. of Math. (2) 102 (1975), no. 1, 159–182. MR 385456, DOI 10.2307/1970980
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3085-3088
  • MSC: Primary 42A16
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1273525-5
  • MathSciNet review: 1273525