We extend the classical Douglas integral, which expresses the Dirichlet integral of a harmonic function on the unit disk in terms of its value on boundary, to the case of conservative symmetric diffusion in terms of Feller measure, by using the approach of time change of Markov processes.
Publié le : 2004-10-14
Classification:
Dirichlet form,
symmetric diffusion,
Feller measure,
energy functional,
excursion,
time change,
Lévy system,
Douglas integral,
Lipschitz domain,
60J45,
60J50
@article{1107883349,
author = {Fukushima, Masatoshi and He, Ping and Ying, Jiangang},
title = {Time changes of symmetric diffusions and Feller measures},
journal = {Ann. Probab.},
volume = {32},
number = {1A},
year = {2004},
pages = { 3138-3166},
language = {en},
url = {http://dml.mathdoc.fr/item/1107883349}
}
Fukushima, Masatoshi; He, Ping; Ying, Jiangang. Time changes of symmetric diffusions and Feller measures. Ann. Probab., Tome 32 (2004) no. 1A, pp. 3138-3166. http://gdmltest.u-ga.fr/item/1107883349/