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

collaborators

Showing 2009 · math.PRShow all

2 papers · 2 filters

math.PR2009

Boundary Harnack Inequality for alpha-harmonic functions on the Sierpiński triangle

Kamil Kaleta, Mateusz Kwaśnicki

We prove an uniform boundary Harnack inequality for nonnegative functions harmonic with respect to $α$ -stable process on the Sierpi{ń}ski triangle, where $α \in (0, 1)$ . Our result…

math.PR2009★ 1 cited

Intrinsic ultracontractivity for Schrodinger operators based on fractional Laplacians

Kamil Kaleta, Tadeusz Kulczycki

We study the Feynman-Kac semigroup generated by the Schr{ö}dinger operator based on the fractional Laplacian $- (- Δ)^{α /2} - q$ in $\Rd$, for $q \geq 0$ , $α \in (0, 2)$ . We obtain shar…