Brownian motion characterization of some Besov-Lipschitz spaces on domains

被引：0
作者：
Hrvoje Šikić
Mitchell H. Taibleson
机构：
[1] Washington University,Department of Mathematics
[2] University of Zagreb,Department of Mathematics
来源：
The Journal of Geometric Analysis | 2005年 / 15卷
关键词：
46E35; 60J65; Besov-Lipschitz spaces; Brownian motion;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We characterize the Besov-Lipschitz spaces with zero boundary conditions on bounded smooth domains. We prove that the appropriate first and second difference norms are equivalent to the norm given in terms of the transition kernel of the Brownian motion killed upon exit from the domain.
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页码：137 / 180
页数：43
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