On regular Dirichlet subspaces of $H^{1}(I)$ and associated linear diffusions
Fang, Xing ; Fukushima, Masatoshi ; Ying, Jiangang
Osaka J. Math., Tome 42 (2005) no. 1, p. 27-41 / Harvested from Project Euclid
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We will give a complete characterization of all regular Dirichlet subspaces of $H^1(I)$ for a finite open interval $I$ by a certain family of scale functions. Each associated diffusion will be constructed from a reflecting Brownian motion on a closed interval by a time change and a transformation of the state space.
Publié le : 2005-03-14
Classification:  
@article{1153494313,
     author = {Fang, Xing and Fukushima, Masatoshi and Ying, Jiangang},
     title = {On regular Dirichlet subspaces of $H^{1}(I)$ and associated linear diffusions},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 27-41},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494313}
}

Fang, Xing; Fukushima, Masatoshi; Ying, Jiangang. On regular Dirichlet subspaces of $H^{1}(I)$ and associated linear diffusions. Osaka J. Math., Tome 42 (2005) no. 1, pp.  27-41. http://gdmltest.u-ga.fr/item/1153494313/