Riesz transform on manifolds with quadratic curvature decay
Differential Geometry
2016-10-06 v2 Analysis of PDEs
Abstract
We investigate the -boundness of the Riesz transform on Riemannian manifolds whose Ricci curvature has quadratic decay. Two criteria for the -unboundness of the Riesz transform are given. We recover known results about manifolds that are Euclidean or conical at infinity.
Keywords
Cite
@article{arxiv.1403.6278,
title = {Riesz transform on manifolds with quadratic curvature decay},
author = {Gilles Carron},
journal= {arXiv preprint arXiv:1403.6278},
year = {2016}
}