Time changes of symmetric diffusions and Feller measures

Time changes of symmetric diffusions and Feller measures
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DOI:
10.1214/009117904000000649
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发表时间:
2004-10
影响因子:
2.3
通讯作者:
M. Fukushima;P. He;J. Ying
M. Fukushima;P. He;J. Ying
中科院分区:
数学1区
文献类型:
--
作者:
M. Fukushima;P. He;J. Ying

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利用马尔可夫过程的时变方法,将单位圆盘上调和函数的Dirichlet积分用边界值表示的经典道格拉斯积分推广到保守对称扩散的Feller测度情形.
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.