半狄氏型下的Kato类光滑测度

摘要

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.%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.