In this paper, we establish the Littlewood-Paley-Stein inequality on general metric spaces %We show this inequality under a weaker condition than the lower boundedness of Bakry-Emery's $\Gamma_{2}$. We also discuss Riesz transforms. %a relationship of Sobolev norms. As examples, we deal with diffusion processes on a path space associated with stochastic partial differential equations (SPDEs in short) and a class of superprocesses with immigration.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
14
号
1
ページ
1 - 30
発行年
2007-03-20
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathmatical Subject Classification
42B25(MSC2000)
60J60(MSC2000)
60H15(MSC2000)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces
jms140101.pdf
(232KB)
