Fractional Kolmogorov operator and desingularizing weights
Analysis of PDEs
2020-07-03 v4 Probability
Abstract
We establish sharp upper and lower bounds on the heat kernel of the fractional Laplace operator perturbed by Hardy-type drift by transferring it to appropriate weighted space with singular weight.
Keywords
Cite
@article{arxiv.2005.11199,
title = {Fractional Kolmogorov operator and desingularizing weights},
author = {D. Kinzebulatov and Yu. A. Semenov},
journal= {arXiv preprint arXiv:2005.11199},
year = {2020}
}
Comments
Few minor typos fixed, added the graph of function \kappa \mapsto \beta