Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Continuity of excessive harmonic functions for certain diffusions


Author: Z. R. Pop-Stojanović
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 60J45, 31C05, 60J25

Retrieve articles in all journals with MSC: 60J45, 31C05, 60J25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0943091-6
Keywords: Strong Markov process, transience, excessive harmonic functions, Harnack inequality
Article copyright: © Copyright 1988 American Mathematical Society