Continuity of excessive harmonic functions for certain diffusions
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- by Z. R. Pop-Stojanović PDF
- Proc. Amer. Math. Soc. 103 (1988), 607-611 Request permission
Abstract:
This paper shows that under certain analytic conditions concerning its potential kernel, a strong Markov process, which is transient and with continuous sample paths, has all of its excessive harmonic functions, which are not identically infinite, continuous, Harnack inequality holds, and a family of its excessive functions is equi-continuous on compacts.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 607-611
- MSC: Primary 60J45; Secondary 31C05, 60J25
- DOI: https://doi.org/10.1090/S0002-9939-1988-0943091-6
- MathSciNet review: 943091