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Short Communications

On regular boundary points for Markov processes

N. V. Krylov

Moscow

Abstract: The equivalence of the notion of a regular boundary point with that of a quasi regular boundary point is proved in this paper for a wide class of Markov processes in a semicompact. The criterion for a point to be regular which is analogous to the criterion of Valle-Poussin (in the theory of differential equations) is used to prove that when certain conditions are satisfied a point is regular for one process if and only if it is regular for another one.

Received: 25.10.1965

 English version: Theory of Probability and its Applications, 1966, 11:4, 609–614

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