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
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