Miłosz Baraniewicz

activity

20222024

collaborators

3 papers

math.PR2024

Ground state decay for Schrödinger operators with confining potentials

Miłosz Baraniewicz

We give two-sided estimates of a ground state for Schrödinger operators with confining potentials. We propose a semigroup approach, based on resolvent and the Feynman--Kac formula,…

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.PR2022

Exponential densities and compound Poisson measures

Miłosz Baraniewicz, Kamil Kaleta

We prove estimates at infinity of convolutions $f^{n ⋆}$ and densities of the corresponding compound Poisson measures for a class of radial decreasing densities on $\mathbb{R}^d…