Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities

Beznea L, Röckner M (2011)
Complex Analysis and Operator Theory 5(3): 731-741.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Beznea, Lucian; Röckner, MichaelUniBi
Abstract / Bemerkung
We establish relations between the existence of the L-superharmonic functions that have compact level sets (L being the generator of a right Markov process), the path regularity of the process, and the tightness of the induced capacities. We present several examples in infinite dimensional situations, like the case when L is the Gross-Laplace operator on an abstract Wiener space and a class of measure-valued branching process associated with a nonlinear perturbation of L.
Stichworte
Right process; Lyapunov function; Resolvent of kernels; Tight capacity; Standard process
Erscheinungsjahr
2011
Zeitschriftentitel
Complex Analysis and Operator Theory
Band
5
Ausgabe
3
Seite(n)
731-741
ISSN
1661-8254
Page URI
https://pub.uni-bielefeld.de/record/2394401

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Beznea L, Röckner M. Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory. 2011;5(3):731-741.
Beznea, L., & Röckner, M. (2011). Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory, 5(3), 731-741. doi:10.1007/s11785-010-0084-3
Beznea, L., and Röckner, M. (2011). Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory 5, 731-741.
Beznea, L., & Röckner, M., 2011. Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory, 5(3), p 731-741.
L. Beznea and M. Röckner, “Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities”, Complex Analysis and Operator Theory, vol. 5, 2011, pp. 731-741.
Beznea, L., Röckner, M.: Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory. 5, 731-741 (2011).
Beznea, Lucian, and Röckner, Michael. “Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities”. Complex Analysis and Operator Theory 5.3 (2011): 731-741.