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1999 | 71 | 1 | 87-103
Tytuł artykułu

Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We characterise hyperconvexity in terms of Jensen measures with barycentre at a boundary point. We also give an explicit formula for the pluricomplex Green function in the Hartogs triangle. Finally, we study the behaviour of the pluricomplex Green function g(z,w) as the pole w tends to a boundary point.
Rocznik
Tom
71
Numer
1
Strony
87-103
Opis fizyczny
Daty
wydano
1999
otrzymano
1998-05-11
poprawiono
1998-08-26
Twórcy
  • Mid Sweden University, S-831 25 Östersund, Sweden
  • Department of Mathematics, Umeå University, S-901 87 Umeå, Sweden
  • Department of Mathematics, Umeå University, S-901 87 Umeå, Sweden
Bibliografia
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  • [3] Z. Błocki, The complex Monge-Ampère operator in hyperconvex domains, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 23 (1996), 721-747.
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  • [11] M. Hervé, Lindelöf's principle in infinite dimensions, in: Proc. on Infinite Dimensional Holomorphy (Berlin), T. L. Hayden and T. J. Suffridge (eds.), Lecture Notes in Math. 364, Springer, 1974, 41-57.
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  • [17] P. Lelong, Fonction de Green pluricomplexe et lemme de Schwarz dans les espaces de Banach, J. Math. Pures Appl. 68 (1989), 319-347.
  • [18] L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France 109 (1981), 427-474.
  • [19] L. Lempert, Intrinsic distances and holomorphic retracts, in: Complex Analysis and Applications '81, Bulgar. Acad. Sci., Sophia, 1984, 341-364.
  • [20] E. A. Poletsky, Holomorphic currents, Indiana Univ. Math. J. 42 (1993), 85-144.
  • [21] E. A. Poletsky and B. V. Shabat, Invariant metrics, in: Several Complex Variables III, G. M. Khenkin (ed.), Encyclopaedia Math. Sci., 9, Springer, 1989, 63-111.
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  • [24] W. Zwonek, On Carathéodory completeness of pseudoconvex Reinhardt domains, preprint, 1998.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-apmv71z1p87bwm
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