FUNCTIONS OF VANISHING MEAN OSCILLATION ASSOCIATED TO NON-NEGATIVE SELF-ADJOINT OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

被引：2

作者：

The Anh Bui ^{[1
]}

机构：

[1] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia

来源：

TOHOKU MATHEMATICAL JOURNAL | 2014年 / 66卷 / 02期

关键词：

Non-negative self-adjoint operator; Hardy space; BMO; VMO; space of homogeneous type; HARDY-SPACES;

D O I：

10.2748/tmj/1404911863

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a nonnegative self-adjoint operator satisfying Davies-Gaffney estimates on L-2(X), where X is a metric space. In this paper, we introduce and develop a new function space VMOL (X) of vanishing mean oscillation type associated to L. We then prove that the dual of VMOL (X) is the Hardy space H-L (X) which was investigated in [18]. Some characterizations of VMOL (X) are also established.

引用

页码：269 / 287

页数：19