$L^p$-Sobolev estimates for a class of integral operators with folding canonical relations
Classical Analysis and ODEs
2021-08-05 v2
Abstract
We prove a sharp -Sobolev regularity results for a class of generalized Radon transforms for families of curves in a three dimensional manifold, with folding canonical relations. The proof relies on decoupling inequalities by Wolff and by Bourgain-Demeter for plate decompositions of thin neighborhoods of cones.
Keywords
Cite
@article{arxiv.1909.04173,
title = {$L^p$-Sobolev estimates for a class of integral operators with folding canonical relations},
author = {Malabika Pramanik and Andreas Seeger},
journal= {arXiv preprint arXiv:1909.04173},
year = {2021}
}
Comments
To appear in Journal of Geometric Analysis