Extremal plurisubharmonic functions and invariant pseudodistances
Bulletin de la Société Mathématique de France (1985)
- Volume: 113, page 231-240
- ISSN: 0037-9484
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topKlimek, M.. "Extremal plurisubharmonic functions and invariant pseudodistances." Bulletin de la Société Mathématique de France 113 (1985): 231-240. <http://eudml.org/doc/87482>.
@article{Klimek1985,
author = {Klimek, M.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {extremal plurisubharmonic function; complex Monge-Ampère equation; Carathéodory-Kobayashi pseudodistance; generalized Green's function; Lindelöf property of Green’s functions},
language = {eng},
pages = {231-240},
publisher = {Société mathématique de France},
title = {Extremal plurisubharmonic functions and invariant pseudodistances},
url = {http://eudml.org/doc/87482},
volume = {113},
year = {1985},
}
TY - JOUR
AU - Klimek, M.
TI - Extremal plurisubharmonic functions and invariant pseudodistances
JO - Bulletin de la Société Mathématique de France
PY - 1985
PB - Société mathématique de France
VL - 113
SP - 231
EP - 240
LA - eng
KW - extremal plurisubharmonic function; complex Monge-Ampère equation; Carathéodory-Kobayashi pseudodistance; generalized Green's function; Lindelöf property of Green’s functions
UR - http://eudml.org/doc/87482
ER -
References
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- [8] KOBAYASHI, (S.). — Hyperbolic manifolds and holomorphic mappings, Marcel Dekker Inc., New York, 1970. Zbl0207.37902MR43 #3503
- [9] LEMPERT (L.). — La metrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. Fr., Vol. 109, 1981, pp. 427-474. Zbl0492.32025MR84d:32036
- [10] LEMPERT (L.). — Holomorphic retracts and intrinsic metrics in convex domains, Analysis Mathematica, Vol. 8, 1982, pp. 257-261. Zbl0509.32015MR84f:32026
- [11] PLESNIAK (W.). — Sur la L-régularité des compacts de Cn, Polycopié de la Faculté des Sciences de Toulouse, U.E.R. de Math., Toulouse, 1980.
- [12] ROBINSON (R. M.). — Analytic functions in circular rings, Duke Math. J. Vol. 10, 1943, pp. 341-354. Zbl0060.21804MR4,241g
- [13] SICIAK (J.). — Extremal plurisubharmonic functions in Cn, Ann. Polon. Math., Vol. 39, 1981, p. 175-211. Zbl0477.32018MR83e:32018
- [14] SIMHA (R. R.). — The Caratheodory metric of the annulus, Proc. Amer. Math. Soc., Vol. 50, 1975, p. 162-166. Zbl0281.30010MR52 #736
Citations in EuDML Documents
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- Urban Cegrell, The symmetric pluricomplex Green function
- Kazuo Azukawa, The ratio of invariant metrics on the annulus and theta functions
- Klas Diederich, Gregor Herbort, Quantitative estimates for the Green function and an application to the Bergman metric
- Peter Pflug, Włodzimierz Zwonek, Effective formulas for invariant functions - case of elementary Reinhardt domains
- J.-P. Demailly, Mesures de Monge-Ampère et mesures pluriharmoniques
- Jean-Pierre Demailly, Fonction de Green pluricomplexe et mesures pluriharmoniques
- E. Bedford, B. A. Taylor, Plurisubharmonic functions with logarithmic singularities
- Maciej Klimek, Invariant pluricomplex Green functions
- Marek Jarnicki, Peter Pflug, Invariant pseudodistances and pseudometrics - completeness and product property
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