| 正则Dirichlet子空间与Mosco收敛性 |
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| 引用本文： | 宋秀翠,李利平.正则Dirichlet子空间与Mosco收敛性[J].数学年刊A辑(中文版),2016,37(1):1-14. |
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| 作者姓名： | 宋秀翠 李利平 |
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| 作者单位： | 复旦大学数学科学学院, 上海 200433.,通讯作者. 复旦大学数学科学学院, 上海 200433. |
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| 摘 要： | 讨论了一维不可约强局部Dirichlet,型的正则子空间的Mosco收敛性.如果正则子空间的特征集是收敛的,那么相应的正则子空间在Mosco意义下也是收敛的.最后,用一些具体的例子说明了Mosco收敛不能保持Dirichlet型整体特性的稳定.
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| 关 键 词： | Dirichlet型 正则子空间 Mosco收敛 极小扩散过程 |
| 收稿时间： | 4/7/2015 12:00:00 AM |
| 修稿时间： | 2015/5/14 0:00:00 |
Regular Dirichlet Subspaces and Mosco Convergence |
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| SONG Xiucui and LI Liping.Regular Dirichlet Subspaces and Mosco Convergence[J].Chinese Annals of Mathematics,2016,37(1):1-14. |
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| Authors: | SONG Xiucui and LI Liping |
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| Institution: | School of Mathematical Sciences, Fudan University, Shanghai 200433, China and Corresponding author. School of Mathematical , Fudan University, Shanghai 200433, China. |
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| Abstract: | In this paper, the authors explore the Mosco
convergence on regular subspaces of one-dimensional irreducible
and strongly local Dirichlet forms. It is found that if the
characteristic sets of regular subspaces are convergent, then their
associated regular subspaces are also convergent in the sense of Mosco. Finally,
some examples illustrate that the Mosco convergence
does not preserve any global properties of the Dirichlet forms. |
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| Keywords: | Dirichlet forms Regular subspaces Mosco convergence Minimal diffusion |
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