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

  • A. Vict. Antoniouk
  • A. Val. Antoniouk
  • Yu. G. Kondratiev

Abstract

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.
Published
25.01.1995
How to Cite
AntonioukA. V., AntonioukA. V., and KondratievY. G. “Essential Self-Adjointness of Dirichlet Operators of Gibbs Measures on Infinite Products of Manifolds”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 47, no. 1, Jan. 1995, pp. 4–11, https://umj.imath.kiev.ua/index.php/umj/article/view/5376.
Section
Research articles