Hardy perturbations of subordinated Bessel heat kernels
Analysis of PDEs
2024-09-05 v1 Mathematical Physics
Functional Analysis
math.MP
Probability
Abstract
Motivated by the spectral theory of relativistic atoms, we prove matching upper and lower bounds for the transition density of Hardy perturbations of subordinated Bessel heat kernels. The analysis is based on suitable supermedian functions, in particular invariant functions.
Keywords
Cite
@article{arxiv.2409.02853,
title = {Hardy perturbations of subordinated Bessel heat kernels},
author = {Krzysztof Bogdan and Tomasz Jakubowski and Konstantin Merz},
journal= {arXiv preprint arXiv:2409.02853},
year = {2024}
}
Comments
59 pages