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math.AP2022
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.
math.AP2022
Heat kernels of non-local Schrödinger operators with Kato potentials
Tomasz Grzywny, Kamil Kaleta, Paweł Sztonyk
We study heat kernels of Schrödinger operators whose kinetic terms are non-local operators built for sufficiently regular symmetric Lévy measures with radial decreasing profiles an…