TY - JOUR
T1 - On the ornstein-uhlenbeck operators on wiener-riemannian manifolds
AU - Aida, Shigeki
PY - 1993/8/15
Y1 - 1993/8/15
N2 - In this paper, we study the properties of infinite-dimensional Ornstein-Uhlenbeck operators on submanifolds in Wiener spaces. We establish the hypoellipticity of the Laplacians acting on the space of tensors. By using this, we show the essential selfadjointness of the Laplacians acting on the space of 0-forms, i.e., function spaces.
AB - In this paper, we study the properties of infinite-dimensional Ornstein-Uhlenbeck operators on submanifolds in Wiener spaces. We establish the hypoellipticity of the Laplacians acting on the space of tensors. By using this, we show the essential selfadjointness of the Laplacians acting on the space of 0-forms, i.e., function spaces.
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U2 - 10.1006/jfan.1993.1105
DO - 10.1006/jfan.1993.1105
M3 - Article
AN - SCOPUS:38249000645
VL - 116
SP - 83
EP - 110
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 1
ER -