Abstract

By an approximation method we compute explicitly traces of the Dirichlet form related to the Bessel process with respect to discrete measures as well as measures of mixed type. Then some global properties of the obtained Dirichlet forms, such as conservativeness, irreducibility and compact embedding for their domains are discussed.

中文翻译：

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贝塞尔狄利克雷形式迹的计算和全局属性

摘要

通过近似方法，我们明确计算与贝塞尔过程相关的狄利克雷形式的关于离散度量以及混合类型度量的迹线。然后讨论了获得的狄利克雷形式的一些全局属性，例如它们域的保守性、不可约性和紧凑嵌入。