English

Results in estimates for $k$-plane transforms

Classical Analysis and ODEs 2021-07-23 v2

Abstract

This is an expository paper. We give proofs of some results of M. Christ (1984) and S. W. Drury (1984) for kk-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.

Cite

@article{arxiv.2010.03275,
  title  = {Results in estimates for $k$-plane transforms},
  author = {Shuichi Sato},
  journal= {arXiv preprint arXiv:2010.03275},
  year   = {2021}
}

Comments

Section 1 revised, 54 pages

R2 v1 2026-06-23T19:07:17.581Z