On representation by exit laws for some Bochner subordinated semigroups

Mohamed Hmissi; Hassen Mejri

Published: 2008-09-30

Vol. 22 (2008)

On representation by exit laws for some Bochner subordinated semigroups

Mohamed Hmissi , Hassen Mejri

Abstract

This paper is devoted to the integral representation of potentials by exit laws in the framework of sub-Markovian semigroups of kernels acting on L²(m). We mainly investigate subordinated semigroups in Bochner sense by means of subordinators with complete Bernstein functions. As application, we give a representation for the original semigroup.

Keywords:

sub-Markovian semigroup , potential , exit law , subordinator , complete Bernstein function , one-sided stable subordinator

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Hmissi, M., & Mejri, H. (2008). On representation by exit laws for some Bochner subordinated semigroups. Annales Mathematicae Silesianae, 22, 7–26. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14048

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Mohamed Hmissi

Med.Hmissi@fst.rnu.tn

Affiliation:

Département de Mathématiques, Faculté des Sciences de Tunis, Tunisia Tunisia

Hassen Mejri

Affiliation:

Département de Mathématiques, Faculté des Sciences de Tunis, Tunisia Tunisia

Vol. 22 (2008)
Published: 2008-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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