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Proceedings of the American Mathematical Society

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A remark on the Hausdorff-Young inequality

Author: Per Sjölin
Journal: Proc. Amer. Math. Soc. 123 (1995), 3085-3088
MSC: Primary 42A16
MathSciNet review: 1273525
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Abstract: We shall prove a sharp Hausdorff-Young inequality of Beckner type for functions on $ \mathbb{T}$ with small support.

References [Enhancements On Off] (What's this?)

  • [1] 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
  • [2] K. I. Babenko, An inequality in the theory of Fourier integrals, Izv. Akad. Nauk SSSR Ser. Mat. 25 (1961), 531–542 (Russian). MR 0138939
  • [3] William Beckner, Inequalities in Fourier analysis, Ann. of Math. (2) 102 (1975), no. 1, 159–182. MR 0385456

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Article copyright: © Copyright 1995 American Mathematical Society