68 citations · 248 across the 33 of their papers we have counts for
4 papers · 1 filter
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.
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…
Exponential densities and compound Poisson measures
Miłosz Baraniewicz, Kamil Kaleta
We prove estimates at infinity of convolutions and densities of the corresponding compound Poisson measures for a class of radial decreasing densities on $\mathbb{R}^d…
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…