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The Riesz-Sobolev inequality provides an upper bound, in integral form, for the convolution of indicator functions of subsets of Euclidean space.
F. Riesz, Sur une inégalité intégrale
1930
Earlier work this paper cites.
S. L. Sobolev, On a theorem of functional analysis
1963
Earlier work this paper cites.
E. M. Stein and G. Weiss, Fourier Analysis on Euclidean Spaces
1971
Earlier work this paper cites.
H. J. Brascamp, E. Lieb and J. M. Luttinger, A general rearrangement inequality for multiple integrals
1974
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.
J. A. Carrillo, S. Hittmeir, B. Volzone, Y. Yao, Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
Cited in the paper.
M. Christ, An approximate inverse Riesz-Sobolev rearrangement inequality
Cited in the paper.
by same author Near equality in Young’s inequality
Cited in the paper.
by same author, Near equality in the Riesz-Sobolev inequality
Cited in the paper.
by same author, Near equality in the Riesz-Sobolev inequality in higher dimensions
Cited in the paper.
by same author, On an extremization problem concerning Fourier coefficients
Cited in the paper.
by same author, A short course in rearrangement inequalities
2009
Later among the works it cites.
by same author, oral communcation, May 2016
2016
Later among the works it cites.
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