Functions harmonic for a~Markov process
Matematičeskie zametki, Tome 13 (1973) no. 4, pp. 587-596
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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.
@article{MZM_1973_13_4_a14,
author = {M. G. Shur},
title = {Functions harmonic for {a~Markov} process},
journal = {Matemati\v{c}eskie zametki},
pages = {587--596},
publisher = {mathdoc},
volume = {13},
number = {4},
year = {1973},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a14/}
}
M. G. Shur. Functions harmonic for a~Markov process. Matematičeskie zametki, Tome 13 (1973) no. 4, pp. 587-596. http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a14/