Nonsymmetric Ornstein-Uhlenbeck semigroup as second quantized operator

Kyoto Journal of Mathematics

Volumn 36, Issue 3, 1996, Pages 481-498

  Chojnowska Michalik, Anna ^a   Goldys, Beniamin ^b  

^a UNIVERSITY OF LODZ   (Poland)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039337711     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518505     Document Type: Article

References (15)

1. A. Chojnowska-Michalik and B. Goldys, Existence, uniqueness and invariant measures for stochastic semilinear equations on Hilbert spaces, to appear.
2. A. Chojnowska-Michalik and B. Goldys, On regularity properties of Ornstein-Uhlenbeck semigroup, submitted.
3. G. DaPrato and J. Zabczyk, Smoothing properties of transition semigroups in Hilbert spaces, Stochastics, 35 (1991), 63-77.
4. G. DaPrato and J. Zabczyk, Stochastic equations in infinite dimensions, Cambridge University Press, 1992.
5. G. DaPrato and J. Zabczyk, Regular densities of invariant measures for nonlinear stochastic equations, to appear.
6. D. Feyel and A. de La Pradelle, Opérateurs linéaires gaussiens, Potential Analysis, 3 (1994), 89-105.
7. M. Fuhrman, Densities of Gaussian measures and regularity of non-symmetric Ornstein-Uhlenbeck semigroups in Hilbert spaces, preprint 528 (1994), Inst. of Mathematics, Polish Academy of Sciences.
8. M. Fuhrman, personal communication.
9. L. Gross, Logarithmic Sobolev inequalities, American Journal of Mathematics, 97 (1975), 1061-1083.
10. L. Gross, Logarithmic Sobolev inequalities and contractive properties of semigroups, in Dirichlet Forms LNM 1563, Springer-Verlag, 1993, 54-82.
11. E. Nelson, The free Markov field, J. Functional Analysis, 12 (1973), 211-227.
12. A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, 1983.
13. 2 euclidean (quantum) field theory, Princeton University Press, 1974.
14. H. Triebel, Interpolation theory, function spaces, differential operators, Veb Deutscher Verlag, Berlin, 1978.
15. S. Watanabe, Stochastic differential equations and Malliavin calculus, Tata Institute of Fundamental Research, Bombay, 1984.