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

Mohamed Hmissi; Ezzedine Mliki

Displaying similar documents to “On exit laws for subordinated semigroups by means of $𝒞^{1}$ -subordinators”

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Shiqi Song (1995)

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Perturbation theorems for convoluted $C$ -semigroups and cosine functions

M. Kostić (2010)

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alpha-times Integrated Semigroups (alpha in R-)

Milorad Mijatović, Stevan Pilipović (1997)

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Enrico Priola (1999)

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We study a new class of Markov type semigroups (not strongly continuous in general) in the space of all real, uniformly continuous and bounded functions on a separable metric space E. Our results allow us to characterize the generators of Markov transition semigroups in infinite dimensions such as the heat and the Ornstein-Uhlenbeck semigroups.

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On α-times integrated C-semigroups and the abstract Cauchy problem

Chung-Cheng Kuo, Sen-Yen Shaw (2000)

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This paper is concerned with α-times integrated C-semigroups for α > 0 and the associated abstract Cauchy problem: $u^{'} (t) = A u (t) + \frac{t^{α - 1}}{Γ (α)} x$ , t >0; u(0) = 0. We first investigate basic properties of an α-times integrated C-semigroup which may not be exponentially bounded. We then characterize the generator A of an exponentially bounded α-times integrated C-semigroup, either in terms of its Laplace transforms or in terms of existence of a unique solution of the above abstract Cauchy problem for every x...

On the operator equation $A X - X B = C$ with unbounded operators $A$ , $B$ , and $C$ .

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Displaying similar documents to “On exit laws for subordinated semigroups by means of 𝒞 1 -subordinators”

Displaying similar documents to “On exit laws for subordinated semigroups by means of $𝒞^{1}$ -subordinators”