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The Riesz-Sobolev inequality relates the convolution of nonnegative functions on Euclidean space to the convolution of their symmetric nonincreasing rearrangements.
F. Riesz, Sur une inégalité intégrale
1930
Earlier work this paper cites.
S. L. Sobolev, On a theorem of functional analysis
1938
Earlier work this paper cites.
E. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
1983
Earlier work this paper cites.
V. Lev and P. Y. Smeliansky, On addition of two distinct sets of integers
1995
Cited alongside, same era.
A. Burchard, Cases of equality in the Riesz rearrangement inequality
1996
Cited alongside, same era.
E. H. Lieb and M. Loss, Analysis
1997
Cited alongside, same era.
M. Charalambides and M. Christ, Near-extremizers of Young’s inequality for discrete groups
Cited in the paper.
M. Christ, Extremizers of a Radon transform inequality
Cited in the paper.
by same author, Near-extremizers of Young’s inequality for ℝ d {\mathbb{R}}^{d}
Cited in the paper.
G. Freiman, Structure theory of set addition
1999
Later among the works it cites.
T. Tao and V. H. Vu, Additive Combinatorics
2010
Later among the works it cites.
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