@article{BSMF_1996__124_4_545_0, author = {Kaneko, Hiroshi}, title = {Liouville theorems based on symmetric diffusions}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {545--557}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {124}, number = {4}, year = {1996}, doi = {10.24033/bsmf.2292}, mrnumber = {98a:31005}, zbl = {0870.31013}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2292/} }
TY - JOUR AU - Kaneko, Hiroshi TI - Liouville theorems based on symmetric diffusions JO - Bulletin de la Société Mathématique de France PY - 1996 SP - 545 EP - 557 VL - 124 IS - 4 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2292/ DO - 10.24033/bsmf.2292 LA - en ID - BSMF_1996__124_4_545_0 ER -
%0 Journal Article %A Kaneko, Hiroshi %T Liouville theorems based on symmetric diffusions %J Bulletin de la Société Mathématique de France %D 1996 %P 545-557 %V 124 %N 4 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2292/ %R 10.24033/bsmf.2292 %G en %F BSMF_1996__124_4_545_0
Kaneko, Hiroshi. Liouville theorems based on symmetric diffusions. Bulletin de la Société Mathématique de France, Volume 124 (1996) no. 4, pp. 545-557. doi : 10.24033/bsmf.2292. http://www.numdam.org/articles/10.24033/bsmf.2292/
[B-H] Dirichlet forms and Analysis on Wiener space. - Walter de Gruyter, Berlin, 1991. | MR | Zbl
and . -[B-M1] Formes de Dirichlet et estimations structurelles dans les milieux discontinus, C. R. Acad. Sci. Paris, t. 313, 1991, p. 593-598. | MR | Zbl
et . -[B-M2] A Saint-Venant principle for Dirichlet forms on discontinuous media, Elenco Preprint, Rome, 1991.
and . -[C-Y] Differential Equations on Riemannian manifolds and their geometric applications, Comm. Pure Appl. Math., t. 28, 1975, p. 333-354. | MR | Zbl
and . -[F1] On holomorphic diffusions and plurisubharmonic functions, Contemporary Math, t. 78, 1988. | MR | Zbl
. -[F2] On recurrence criteria in the Dirichlet space theory, in From local times to global geometry, control and physics, Longman Scientific &x0026; Technical. - K.D. Elworthy, Essex, 1984-1985.
. -[F-0] On Dirichlet forms for plurisubharmonic functions, Acta Math., t. 159, 1988, p. 171-214. | MR | Zbl
and . -[F-O-T] Dirichlet forms and symmetric Markov processes. - Walter de Gruyter, Berlin, 1994. | Zbl
, and . -[H] Über die Integrale des Herrn Hellinger und die Orthogonalinvarianten der quadratischen Formen von unendlich vielen Veränderlichen, Monatsh. für Math. und Physik, t. 23, 1912, p. 161-224. | JFM
. -[K] A stochastic approach to a Liouville property for plurisubharmonic functions, J. Math. Soc. Japan, t. 41, 1989, p. 291-299. | MR | Zbl
. -[M] Composite media and asymptotic Dirichlet form, J. Funct. Anal., t. 123, 1994, p. 368-421. | MR | Zbl
. -[Osh] On conservativeness and recurrence criteria for Markov processes, Potential Analysis, t. 1, 1992, p. 115-131. | MR | Zbl
. -[Ok1] Recurrence criteria for skew products of symmetric Markov processes, Forum Math., t. 1, 1989, p. 331-357. | EuDML | MR | Zbl
. -[Ok2] On the invariant sets and the irreducibility of symmetric Markov processes, in Proc 6th USSR-Japan Symp. on Probability Theory and Mathematical Statistics, World Scientific, 1992. | MR | Zbl
. -[Ok3] Capacitary inequalities and global properties of symmetric Dirichlet forms, preprint. | MR | Zbl
. -[Sto1] The growth of the area of a transcendental analytic set I, Math. Annalen, t. 156, 1964, p. 47-78. | EuDML | MR | Zbl
. -[Sto2] The growth of the area of a transcendental analytic set II, Math. Annalen, t. 156, 1964, p. 144-170. | EuDML | MR | Zbl
. -[Stu1] Analysis on local Dirichlet spaces I. Reccurence, consevativeness and Lp-Liouville properties, J. reine angew. Math., t. 456, 1994, p. 173-196. | EuDML | MR | Zbl
. -[Stu2] Sharp estimates for capacities and applications to symmetric diffusions, preprint. | MR | Zbl
. -[S-W] Some remarks on the Casorati-Weierstrass'theorem, Ann. Polon. Math., t. 39, 1981, p. 165-174. | EuDML | MR | Zbl
and . -[T1] A Liouville theorem on an analytic space, J. Math. Soc. Japan, t. 45, 1993, p. 301-311. | MR | Zbl
. -[T2] Energy estimates and Liouville theorems for harmonic maps, Ann. École Norm. Sup., t. 23, 1990, p. 563-592. | EuDML | Numdam | MR | Zbl
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