Mathematics – Classical Analysis and ODEs
Scientific paper
2011-06-03
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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