Sub-Gaussian heat kernel estimates and quasi Riesz transforms for $1\leq p\leq 2$
Analysis of PDEs
2019-08-21 v2 Classical Analysis and ODEs
Abstract
On a complete non-compact Riemannian manifold , we prove that a so-called quasi Riesz transform is always bounded for . If satisfies the doubling volume property and the sub-Gaussian heat kernel estimate, we prove that the quasi Riesz transform is also of weak type .
Keywords
Cite
@article{arxiv.1401.2279,
title = {Sub-Gaussian heat kernel estimates and quasi Riesz transforms for $1\leq p\leq 2$},
author = {Li Chen},
journal= {arXiv preprint arXiv:1401.2279},
year = {2019}
}
Comments
Final version, published in Publ. Mat., 2015