Open Access
January, 1989 A Note on Capacitary Measures of Semipolar Sets
Mamoru Kanda
Ann. Probab. 17(1): 379-384 (January, 1989). DOI: 10.1214/aop/1176991517

Abstract

For a certain class of Markov processes, the $\lambda$-capacitary measure $\pi^\lambda_S$ of a semipolar set $S$ has the following property under a mild condition: A subset $B$ of $S$ is polar if and only if $\pi^\lambda_S(B) = 0$.

Citation

Download Citation

Mamoru Kanda. "A Note on Capacitary Measures of Semipolar Sets." Ann. Probab. 17 (1) 379 - 384, January, 1989. https://doi.org/10.1214/aop/1176991517

Information

Published: January, 1989
First available in Project Euclid: 19 April 2007

zbMATH: 0669.60070
MathSciNet: MR972794
Digital Object Identifier: 10.1214/aop/1176991517

Subjects:
Primary: 60J45
Secondary: 60J40

Keywords: $\lambda$-capacitary measure , $\lambda$-capacity , polar set , semipolar set , Standard process

Rights: Copyright © 1989 Institute of Mathematical Statistics

Vol.17 • No. 1 • January, 1989
Back to Top