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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.FA2022★ 3 cited
Bound states and heat kernels for fractional-type Schrödinger operators with singular potentials
Tomasz Jakubowski, Kamil Kaleta, Karol Szczypkowski
We consider non-local Schrödinger operators in , , where the kinetic terms are pseudo-differential operators which are perturbations of th…