Non-symmetric perturbations of symmetric Dirichlet forms
Non-symmetric perturbations of symmetric Dirichlet forms
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DOI：
10.1016/j.jfa.2003.10.005
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发表时间：
2004-03
影响因子：
1.7
通讯作者：
P. Fitzsimmons;K. Kuwae
中科院分区：
文献类型：
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作者：
P. Fitzsimmons;K. Kuwae
我们提供了与通过对称局部狄利克雷形式的低阶微扰获得的二次形式相关的半群的路径空间积分表示。该表示形式是 Feynman-Kac 和 Girsanov 公式的组合，并通过使用 Hardy 类平滑测度（其中包含 Kato 类平滑测度）扩展了对称扩散过程框架中先前已知的结果。
We provide a path-space integral representation of the semigroup associated with the quadratic form obtained by lower order perturbation of a symmetric local Dirichlet form. The representation is a combination of Feynman–Kac and Girsanov formulas, and extends previously known results in the framework of symmetric diffusion processes through the use of the Hardy class of smooth measures, which contains the Kato class of smooth measures.