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| 摘要: |
| 本文研究了半狄氏型框架下与Kato类光滑测度相关的问题.利用分析的方法，得到了在热核估计下Kato类光滑测度的等价类，并给出了Kato类光滑测度的相关性质，推广了狄氏型框架下Kato类光滑测度的相关结果. |
| 关键词: 半狄氏型 马氏过程 Kato类光滑测度 可加泛函 |
| DOI： |
| 分类号:O211.62 |
| 基金项目:国家自然科学基金资助（11201102；11326169；11361021）；海南省自然科学基金资助（113007；112002）. |
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| KATO CLASS SMOOTH MEASURES OF SEMI-DIRICHLET FORMS |
|
MA Li,HAN Xin-fang
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| Abstract: |
| In this paper, we study some problems related to Kato-lass smooth measure under semi-Dirichlet form setting. Using analytic method, we get the equivalent definitions under the heat kernel estimation, and present some properties of the Kato class smooth measures. These results extend the results related to Kato class smooth measures under the framework of Dirichlet form. |
| Key words: semi-Dirichlet form Markov process Kato class smooth measures additive functional |
