The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces
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概要
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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.
- Graduate School of Mathematical Sciences, The University of Tokyoの論文
- 2007-03-20
Graduate School of Mathematical Sciences, The University of Tokyo | 論文
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