4 citations · 5 across the 3 of their papers we have counts for
5 papers · 1 filter
Construction and heat kernel estimates of general stable-like Markov processes
V. Knopova, A. Kulik, R. Schilling
A stable-like process is a Feller process taking values in and whose generator behaves, locally, like an -stable Lévy process, but the index …
Subexponential potential asymptotics with applications
Victoria Knopova, Zbigniew Palmowski
Let be a multivariate process of the form , , killed at some terminal time , where is a Markov process having only jumps of the length…
On the Liouville property for non-local Lévy generators
Victoria Knopova, René Schilling
We prove a necessary and sufficient condition for the Liouville property of the infinitesimal generator of a Lévy process and subordinate Lévy processes. Combining our criterion wi…
A Probabilistic proof of the breakdown of Besov regularity in -shaped domains
Victoria Knopova, René L. Schilling
{We provide a probabilistic approach in order to investigate the smoothness of the solution to the Poisson and Dirichlet problems in -shaped domains. In particular, we obtain (p…
On the speed of convergence in the local limit theorem for triangular arrays of random variables
V. Knopova
We establish the upper bound on the speed of convergence to the infinitely divisible limit density in the local limit theorem for triangular arrays of random variables $\{X_{k,n},\…