Extremizers of a Radon transform inequality

Details Extremizers of a Radon transform inequality Extremizers of a Radon transform inequality

2011-06-03

arxiv.org/abs/1106.0719v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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. We identify all extremizers of the associated inequality for the
endpoint case p=(d+1)/d and q=d+1.

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