On extremals for a Radon-like transform

Details On extremals for a Radon-like transform On extremals for a Radon-like transform

2011-06-03

arxiv.org/abs/1106.0728v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Convolution with an appropriate surface measure on a paraboloid in R^d
defines a bounded operator T from L^p(R^d) to L^q(R^d) for certain exponents
p,q. In this article it is proved that there exist functions which extremize
the associated inequality.

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