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The Radon transform is a bounded operator from L^p of Euclidean space R^d to L^q of the Grassmann manifold of all affine hyperplanes in R^d, for certain exponents.
H. J. Brascamp, E. Lieb and J. M. Luttinger, A general rearrangement inequality for multiple integrals
1974
Earlier work this paper cites.
D. M. Oberlin and E. M. Stein, Mapping properties of the Radon transform
1982
Earlier work this paper cites.
A. P. Calderón, On the Radon transform and some of its generalizations
1983
Earlier work this paper cites.
S. W. Drury, L p L^{p} estimates for the X-ray transform
1983
Cited alongside, same era.
E. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
1983
Cited alongside, same era.
M. Christ, Estimates for the k-plane transform
1984
Cited alongside, same era.
Cited in the paper.
by same author, Quasiextremals for a Radon-like transform
Cited in the paper.
by same author, Extremals for a Radon-like transform
Cited in the paper.
M. Christ and Q. Xue, Smoothness of extremizers of a convolution inequality
Cited in the paper.
Cited in the paper.
A. Burchard, Cases of equality in the Riesz rearrangement inequality
1996
Later among the works it cites.
E. H. Lieb and M. Loss, Analysis
1997
Later among the works it cites.
A. Baernstein and M. Loss, Some conjectures about L p L^{p} norms of k-plane transforms
2000
Later among the works it cites.
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