2 papers
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…
math.AP2024
Relativistic stable operators with critical potentials
Tomasz Jakubowski, Kamil Kaleta, Karol Szczypkowski
We give local in time sharp two sided estimates of the heat kernel associated with the relativistic stable operator perturbed by a critical (Hardy) potential.