HYPERCONTRACTIVITY OF NONSYMMETRIC ORNSTE IN-UHLENBECK SEMIGROUPS

Authors
Citation
M. Fuhrman, HYPERCONTRACTIVITY OF NONSYMMETRIC ORNSTE IN-UHLENBECK SEMIGROUPS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(7), 1995, pp. 929-932
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
321
Issue
7
Year of publication
1995
Pages
929 - 932
Database
ISI
SICI code
0764-4442(1995)321:7<929:HONOIS>2.0.ZU;2-B
Abstract
We prove hypercontractivity of some nonsymmetric Ornstein-Uhlenbeck se migroups in Hilbert spaces. In our setting logarithmic Sobolev inequal ities do not hold in general.