$L^p$ Sobolev regularity for a class of Radon and Radon-like transforms of various codimension
Classical Analysis and ODEs
2018-10-26 v2
Abstract
In the paper [G1] the author proved Sobolev regularity results for averaging operators over hypersurfaces and connected them to associated Newton polyhedra. In this paper, we use rather different resolution of singularities techniques to prove Sobolev regularity results for a class of averaging operators over surfaces which can be of any codimension.
Keywords
Cite
@article{arxiv.1803.09679,
title = {$L^p$ Sobolev regularity for a class of Radon and Radon-like transforms of various codimension},
author = {Michael Greenblatt},
journal= {arXiv preprint arXiv:1803.09679},
year = {2018}
}
Comments
18 pages. v2: The argument from (2.15)-(2.22) was corrected and some improvements to the exposition were made