55 citations · 289 across the 73 of their papers we have counts for
6 papers · 1 filter
Coupling and Strong Feller for Jump Processes on Banach Spaces
Feng-Yu Wang, Jian Wang
By using lower bound conditions of the Lévy measure w.r.t. a nice reference measure, the coupling and strong Feller properties are investigated for the Markov semigroup associated…
Some Theorems on Feller Processes: Transience, Local Times and Ultracontractivity
René L. Schilling, Jian Wang
We present sufficient conditions for the transience and the existence of local times of a Feller process, and the ultracontractivity of the associated Feller semigroup; these condi…
Lower bounded semi-Dirichlet forms associated with Lévy type operators
René L. Schilling, Jian Wang
Let be a non-negative measurable function on some locally compact separable metric space . We provide some simple conditions such that the quadratic…
On the Coupling Property and the Liouville Theorem for Ornstein-Uhlenbeck Processes
René L. Schilling, Jian Wang
Using a coupling for the weighted sum of independent random variables and the explicit expression of the transition semigroup of Ornstein-Uhlenbeck processes driven by compound Poi…
Functional Inequalities and Subordination: Stability of Nash and Poincaré inequalities
René L. Schilling, Jian Wang
We show that certain functional inequalities, e.g.\ Nash-type and Poincaré-type inequalities, for infinitesimal generators of semigroups are preserved under subordination in…
Harnack Inequalities for Ornstein-Uhlenbeck Processes Driven by Lévy Processes
Jian Wang
By using the existing sharp estimates of density function for rotationally invariant symmetric -stable Lévy processes and rotationally invariant symmetric truncated -stable L…