The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces 利用統計を見る

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アイテムタイプ	紀要論文 / Departmental Bulletin Paper
言語	英語
キーワード	Littlewood-Paley-Stein inequality, gradient estimate condition, Riesz transforms, SPDEs, superprocesses
著者	Kawabi Hiroshi Miyokawa Tomohiro
抄録	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
原稿受領日	2003-12-01

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