Quasi-regular Dirichlet Forms and Markov Processes
نویسندگان
چکیده
منابع مشابه
Dirichlet Forms and Markov Processes
We extend the framework of classical Dirichlet forms to a class of bili-near forms, called generalized Dirichlet forms, which are the sum of a coercive part and a linear unbounded operator as a perturbation. The class of generalized Dirich-let forms, in particular, includes symmetric and coercive Dirichlet forms (cf. Fu2], M/R]) as well as time dependent Dirichlet forms (cf. O1]) as special cas...
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We prove some new results on quasi-regular Dirichlet forms. These include results on perturbations of Dirichlet forms, change of speed measure, and tightness. The tightness implies the existence of an associated right continuous strong Markov process. We also discuss applications to a number of examples including cases with possibly degenerate (sub)-elliptic part, diffusions on loops spaces, an...
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Since the celebrated result of Fukushima on the connection between regular Dirichlet forms and Hunt processes in 1971, the theory of Dirichlet forms has been rapidly developed and has brought a wide range of applications in various related areas of mathematics and physics (see e.g. the three new books [BH 91], [MR 92], [FOT 94] and references therein). In this survey paper I shall mainly discus...
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We prove that for any semi-Dirichlet form (ε, D(ε)) on a measurable Lusin space E there exists a Lusin topology with the given σ-algebra as the Borel σ-algebra so that (ε, D(ε)) becomes quasi–regular. However one has to enlarge E by a zero set. More generally a corresponding result for arbitrary L-resolvents is proven.
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Downloading the book in this website lists can give you more advantages. It will show you the best book collections and completed collections. So many books can be found in this website. So, this is not only this hyperfinite dirichlet forms and stochastic processes. However, this book is referred to read because it is an inspiring book to give you more chance to get experiences and also thought...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1993
ISSN: 0022-1236
DOI: 10.1006/jfan.1993.1007