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On exit laws for subordinated semigroups by means of $𝒞^{1}$ -subordinators

Mohamed Hmissi; Ezzedine Mliki — 2010

Commentationes Mathematicae Universitatis Carolinae

We study the integral representation of potentials by exit laws in the framework of sub-Markovian semigroups of bounded operators acting on $L^{2} (m)$ . We mainly investigate subordinated semigroups in the Bochner sense by means of $𝒞^{1}$ -subordinators. By considering the one-sided stable subordinators, we deduce an integral representation for the original semigroup.

On the abstract subordinated exit equation.

Mejri, Hassen; Mliki, Ezzedine — 2010

Abstract and Applied Analysis

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On exit laws for subordinated semigroups by means of 𝒞 1 -subordinators

On the abstract subordinated exit equation.

On exit laws for subordinated semigroups by means of $𝒞^{1}$ -subordinators