Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds

• Datum: 1995
• Hauptverfasser: Antoniouk, A. Vict., Antoniouk, A. Val., Kondratiev, Yu. G., Антонюк, О. Вік., Антонюк, О. Вал., Кондратьєв, Ю. Г.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5376
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain the conditions of essential self-adjointness of Dirichlet operators of Gibbs measures with essential domains consisting of smooth cylindrical functions. It is proved that certain spaces of smooth functions are invariant under the action of the semigroup of the Dirichlet operator.