Results in estimates for $k$-plane transforms

Abstract

This is an expository paper. We give proofs of some results of M. Christ (1984) and S. W. Drury (1984) for $k$-plane transforms. Also, we give proofs for some related results including that for the existence of invariant measures on certain homogeneous manifolds of Lie groups.

arXiv commentSection 1 revised, 54 pages