We deal with an infinite dimensional Ornstein-Uhlenbeck semigroup {P (t)}t≥0 acting both on the space of all real uniformly continuous and bounded functions defined on a real Banach space E and on the space of all integrable functions on E with respect to an invariant measure. We give conditions under which the uniform operator norm of P (t) − P (s) is 2, for t> s ≥ 0. These results are new even when E = Rn. We also investigate some spectral properties of the Ornstein-Uhlenbeck operators
eds G. Da Prato - L. Tubaro, Lecture Notes in Pure and Appl. Math., 227, Dekker, 2002
ix I and drift matrix \u3bb(R 12 I), where \u3bb > 0 and R is a skew-adjoint matrix and denote by \...
We find necessary and sufficient conditions on a Banach space X in order for the vector-valued exten...
Let E be a real Banach space. We study the Ornstein-Uhlenbeck semigroup P = {P (t)}t>0 associated...
Abstract. Let E be a real Banach space. We study the Ornstein-Uhlenbeck semigroup P = fP (t)gt>0 ...
Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc
The contents of these notes were presented during ten lectures, in November 2011, by PeterSj\uf6gren...
In the setting of Euclidean space with the Gaussian measure g, we consider all first-order Riesz ...
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension and their generator...
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension and their generator...
Some of the arguments and techniques developed by the authors in a previous paper are applied to the...
Studiamo l'operatore di Ornstein-Uhlenbeck e il semigruppo di Ornstein-Uhlenbeck in un sottoinsieme ...
eds G. Da Prato - L. Tubaro, Lecture Notes in Pure and Appl. Math., 227, Dekker, 2002
eds G. Da Prato - L. Tubaro, Lecture Notes in Pure and Appl. Math., 227, Dekker, 2002
In the setting of Euclidean space with the Gaussian measure γ , we consider all first-order Riesz tr...
eds G. Da Prato - L. Tubaro, Lecture Notes in Pure and Appl. Math., 227, Dekker, 2002
ix I and drift matrix \u3bb(R 12 I), where \u3bb > 0 and R is a skew-adjoint matrix and denote by \...
We find necessary and sufficient conditions on a Banach space X in order for the vector-valued exten...
Let E be a real Banach space. We study the Ornstein-Uhlenbeck semigroup P = {P (t)}t>0 associated...
Abstract. Let E be a real Banach space. We study the Ornstein-Uhlenbeck semigroup P = fP (t)gt>0 ...
Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc
The contents of these notes were presented during ten lectures, in November 2011, by PeterSj\uf6gren...
In the setting of Euclidean space with the Gaussian measure g, we consider all first-order Riesz ...
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension and their generator...
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension and their generator...
Some of the arguments and techniques developed by the authors in a previous paper are applied to the...
Studiamo l'operatore di Ornstein-Uhlenbeck e il semigruppo di Ornstein-Uhlenbeck in un sottoinsieme ...
eds G. Da Prato - L. Tubaro, Lecture Notes in Pure and Appl. Math., 227, Dekker, 2002
eds G. Da Prato - L. Tubaro, Lecture Notes in Pure and Appl. Math., 227, Dekker, 2002
In the setting of Euclidean space with the Gaussian measure γ , we consider all first-order Riesz tr...
eds G. Da Prato - L. Tubaro, Lecture Notes in Pure and Appl. Math., 227, Dekker, 2002
ix I and drift matrix \u3bb(R 12 I), where \u3bb > 0 and R is a skew-adjoint matrix and denote by \...
We find necessary and sufficient conditions on a Banach space X in order for the vector-valued exten...