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/lp/de-gruyter/convergence-of-dirichlet-forms-with-changing-speed-measures-on-d-z8GVpN9UsW
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- Publisher
- de Gruyter
- Copyright
- © de Gruyter
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/form.2005.17.2.225
- Publisher site
- See Article on Publisher Site
Abstract
We consider a sequence of vaguely convergent measures μ n = σ n dx → σ dx = μ on ℝ d and a sequence of symmetric Dirichlet forms { ℰ n }, ℰ n ( f, g ) = ∑ d i,j=1 ∫ ℝ d a n i,j ∂ i f ∂ j g dx , where every ℰ n is defined on L 2 ( σ n dx ). We apply a functional analytic theory of Mosco convergence on changing L 2 -spaces recently developed by K. Kuwae and T. Shioya and obtain some new results about convergence of { ℰ n } and weak convergence of finite dimensional distributions of associated stochastic processes.
Journal
Forum Mathematicum – de Gruyter
Published: Mar 11, 2005