On product formulas for exponential functions.
On quantum extensions of the Azéma martingale semi-group
On random evolutions induced by countable state space Markov chains
On reaction-diffusion systems.
On reducibility of some operator semigroups and algebras on locally convex spaces.
On regularity at t = 0 for semilinear ADEs and its numerical applications.
On regularized quasi-semigroups and evolution equations.
On relations between additive and multiplacative clustering operators
On relatively bounded perturbations of linear -semigroups
On resolvent positive operators and positive C0-semigroups on AL-spaces.
On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable -semigroups.
On semigroups generated by left-invariant positive differential operators on nilpotent Lie groups
On semigroups of operators generated by second order differential operators on Lie groups
On smoothing properties of transition semigroups associated to a class of SDEs with jumps
We prove smoothing properties of nonlocal transition semigroups associated to a class of stochastic differential equations (SDE) in driven by additive pure-jump Lévy noise. In particular, we assume that the Lévy process driving the SDE is the sum of a subordinated Wiener process (i.e. , where is an increasing pure-jump Lévy process starting at zero and independent of the Wiener process ) and of an arbitrary Lévy process independent of , that the drift coefficient is continuous (but not...
On some application of the Bochenek theorem.
On some functions that map each generator of a -semigroup into the generator of a holomorphic semigroup.
On some Schrödinger operators with a singular complex potential
On square functions associated to sectorial operators
We give new results on square functionsassociated to a sectorial operator on for . Under the assumption that is actually -sectorial, we prove equivalences of the form for suitable functions . We also show that has a bounded functional calculus with respect to . Then we apply our results to the study of conditions under which we have an estimate , when generates a bounded semigroup on and is a linear mapping.
On stability and robust stability of positive linear Volterra equations in Banach lattices
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
On strong mixing and weak convergence for groups of operators