半狄氏型下的Kato类光滑测度  

KATO CLASS SMOOTH MEASURES OF SEMI-DIRICHLET FORMS

作　　者：马丽[1] 韩新方[1] MA Li;HAN Xinfang(School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China)

机构地区：[1]海南师范大学数学与统计学院,海南海口571158

出　　处：《数学杂志》2018年第1期124-130,共7页Journal of Mathematics

基　　金：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)

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.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 deˉnitions 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.

关 键 词：半狄氏型 马氏过程 Kato类光滑测度 可加泛函 

分 类 号：O211.62[理学—概率论与数理统计]