(Quasi-)Regular Dirichlet forms for particle systems on Polish spaces

doi:10.1007/s11464-007-0035-0

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (4) : 583-598. DOI: 10.1007/s11464-007-0035-0

(Quasi-)Regular Dirichlet forms for particle systems on Polish spaces

LAN Guangqiang, WANG Fengyu

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Abstract

Explicit suffcient and necessary conditions are presented for reaction-diffusion type Dirichlet forms on Polish spaces studied by Röckner and Wang [Potential Anal., 2006, 24: 223–243] to be (quasi-)regular. As preparations, the (quasi-)regularity of the sum of two or countably many Dirichlet forms is investigated.

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LAN Guangqiang, WANG Fengyu. (Quasi-)Regular Dirichlet forms for particle systems on Polish spaces. Front. Math. China, 2007, 2(4): 583‒598 https://doi.org/10.1007/s11464-007-0035-0