[Banach] Abstract of a paper by Boris Rubin

This is an announcement for the paper "Weighted norm inequalities for k-plane transforms" by Boris Rubin.

Abstract: We obtain sharp inequalities for the k-plane transform, the ``j-plane to k-plane'' transform, and the corresponding dual transforms, acting on $L^p$ spaces with a radial power weight. The operator norms are explicitly evaluated. Some generalizations and open problems are discussed.

Archive classification: math.FA

Mathematics Subject Classification: 44A12

Remarks: 16 pages

Submitted from: borisr@math.lsu.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1207.5180

or

http://arXiv.org/abs/1207.5180