2 papers
math.AP2025
Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels
Krzysztof Bogdan, Konstantin Merz
Motivated by the study of relativistic atoms, we prove sharp heat kernel bounds for the Hardy operator acting on functions of the form $u(|x|) |x|^{\ell}…
math.AP2024
Hardy perturbations of subordinated Bessel heat kernels
Krzysztof Bogdan, Tomasz Jakubowski, Konstantin Merz
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 kerne…