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The Hausdorff-Young inequality for Euclidean space, in its sharp form due to Beckner, gives an upper bound for the Fourier transform in terms of Lebesgue space norms, with an optimal constant.
K. I. Babenko, An inequality in the theory of Fourier integrals
1961
Earlier work this paper cites.
by same author, Near equality in the two-dimensional Brunn-Minkowski inequality
1965
Earlier work this paper cites.
by same author, Near equality in the Brunn-Minkowski inequality
1965
Earlier work this paper cites.
W. Beckner, Inequalities in Fourier analysis
1975
Cited alongside, same era.
H. J. Brascamp and E. H. Lieb, Best constants in Young’s inequality, its converse, and its generalization to more than three functions
1976
Cited alongside, same era.
J. J. F. Fournier, Sharpness in Young’s inequality for convolution
1977
Cited alongside, same era.
M. Charalambides and M. Christ, Near–extremizers for Young’s inequality for discrete groups
Cited in the paper.
S. Chen, R. L. Frank, and T. Werth, Remainder terms in the fractional Sobolev inequality
Cited in the paper.
M. Christ, On extremals for a Radon-like transform
Cited in the paper.
by same author, Near extremizers of Young’s inequality for ℝ d {\mathbb{R}}^{d}
Cited in the paper.
Near equality in the Riesz-Sobolev inequality
Cited in the paper.
E. Lieb, Gaussian kernels have only Gaussian maximizers
1990
Later among the works it cites.
T. Tao and V. Vu, Additive Combinatorics
2006
Later among the works it cites.
T. Eisner and T. Tao, Large values of the Gowers-Host-Kra seminorms
2012
Later among the works it cites.
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