On the ornstein-uhlenbeck operators on wiener-riemannian manifolds

Shigeki Aida

doi:10.1006/jfan.1993.1105

On the ornstein-uhlenbeck operators on wiener-riemannian manifolds

Shigeki Aida

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	83-110
Number of pages	28
Journal	Journal of Functional Analysis
Volume	116
Issue number	1
DOIs	https://doi.org/10.1006/jfan.1993.1105
Publication status	Published - 1993 Aug 15

ASJC Scopus subject areas

Analysis

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abstract = "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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