On the hypercontractivity of Ornstein-Uhlenbeck semigroups with drift
Zhongmin Qian, Sheng-Wu He (1995)
Séminaire de probabilités de Strasbourg
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Zhongmin Qian, Sheng-Wu He (1995)
Séminaire de probabilités de Strasbourg
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P. A. Meyer (1982)
Recherche Coopérative sur Programme n°25
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Beniamin Goldys (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be a transition semigroup of the Hilbert space-valued nonsymmetric Ornstein-Uhlenbeck process and let denote its Gaussian invariant measure. We show that the semigroup is analytic in if and only if its generator is variational. In particular, we show that the transition semigroup of a finite dimensional Ornstein-Uhlenbeck process is analytic if and only if the Wiener process is nondegenerate.
S. Lajos (1965)
Matematički Vesnik
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T. Niedbalska (1978)
Colloquium Mathematicae
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Peter M. Higgins (1988)
Colloquium Mathematicae
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D. Monk, F. Sioson (1966)
Fundamenta Mathematicae
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F. Szafraniec (1982)
Banach Center Publications
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Mridul K. Sen, Sumanta Chattopadhyay (2008)
Discussiones Mathematicae - General Algebra and Applications
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Let S = {a,b,c,...} and Γ = {α,β,γ,...} be two nonempty sets. S is called a Γ -semigroup if aαb ∈ S, for all α ∈ Γ and a,b ∈ S and (aαb)βc = aα(bβc), for all a,b,c ∈ S and for all α,β ∈ Γ. In this paper we study the semidirect product of a semigroup and a Γ-semigroup. We also introduce the notion of wreath product of a semigroup and a Γ-semigroup and investigate some interesting properties of this product.
A. Varisco, A. Cherubini (1981)
Semigroup forum
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R. Gorton (1976)
Compositio Mathematica
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