K. Kaleta

activity

20092026

most citedEstimates of transition densities and their derivatives for jump Lévy processes

68 citations · 248 across the 33 of their papers we have counts for

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4 papers · 1 filter

math.FA2026

Smoothing on $L^{1}$ for ground state transformed semigroups in non-local settings

Miłosz Baraniewicz, Kamil Kaleta

We study the $L^{1}$ -smoothing properties for a broad class of semigroups arising from the ground state transformation of Schrödinger semigroups with confining potentials associated…

math.FA2023★ 5 cited

Quasi-ergodicity of compact strong Feller semigroups on $L^{2}$

Kamil Kaleta, René L. Schilling

We study the quasi-ergodicity of compact strong Feller semigroups $U_{t}$ , $t > 0$ , on $L^{2} (M, μ)$ ; we assume that $M$ is a locally compact Polish space equipped with a locally finite…

math.FA2023

Integral kernels of Schrödinger semigroups with nonnegative locally bounded potentials

Miłosz Baraniewicz, Kamil Kaleta

We give the upper and the lower estimates of heat kernels for Schrödinger operators $H = - Δ + V$ , with nonnegative and locally bounded potentials $V$ in $R^{d}$ , $d \geq 1$ . We…

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 $H = - L - V$ in $L^{2} (R^{d})$ , $d \geq 1$ , where the kinetic terms $L$ are pseudo-differential operators which are perturbations of th…

Smoothing on L1 for ground state transformed semigroups in non-local settings

Quasi-ergodicity of compact strong Feller semigroups on L2

Integral kernels of Schrödinger semigroups with nonnegative locally bounded potentials

Bound states and heat kernels for fractional-type Schrödinger operators with singular potentials

Smoothing on $L^{1}$ for ground state transformed semigroups in non-local settings

Quasi-ergodicity of compact strong Feller semigroups on $L^{2}$