This article is cited in 3 papers

Functions harmonic for a Markov process

M. G. Shur

Moscow Institute for Electronic Machine Construction

Abstract: The compactness property of a family of functions harmonic for a Markov process is studied and, in particular, an inequality of Harnack type is derived. It is shown that under broad conditions the property that a function be locally harmonic implies that it is harmonic.

UDC: 519.2

Received: 09.08.1971

 English version: Mathematical Notes, 1973, 13:4, 355–359

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