SOBOLEV SPACES OVER LOOP-GROUPS

被引：21

作者：

AIDA, S

机构：

[1] Mathematical Institute, Tohoku University

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 127卷 / 01期

关键词：

D O I：

10.1006/jfan.1995.1006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the properties of Orstein-Uhlenbeck operators over loop groups which are naturally defined by the group structure. We establish the hypoellipticity of the Laplacians acting on the space of tensors. By using this, we show the essential self-adjointness of the Laplacians acting on the real valued function spaces. (C) 1995 Academic Press Inc.

引用

页码：155 / 172

页数：18

共 20 条

[1]

ACOSTA E, 1992, SOBOLEV SPACES WIENE

[2] ON THE ORNSTEIN-UHLENBECK OPERATORS ON WIENER-RIEMANNIAN MANIFOLDS [J].