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ArticleOriginal scientific text

Title

Extremal plurisubharmonic functions

Authors ¹, ²

Affiliations

Department of Mathematics, University of Umeå, S-901 87 Umeå, Sweden
Department of Mathematics, Mid Sweden University, S-851 70 Sundsvall, Sweden

Abstract

We study different notions of extremal plurisubharmonic functions.

Keywords

extremal plurisubharmonic function, pluricomplex Green function

E. Bedford and B. A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40.
U. Cegrell, Sums of continuous plurisubharmonic functions and the Monge-Ampère operator in $ℂ^{n}$ , Math. Z. 193 (1986), 373-380.
G. Choquet, Lectures on Analysis, Benjamin, New York, 1969.
J.-P. Demailly, Courants positifs extrémaux et conjecture de Hodge, Invent. Math. 69 (1982), 347-374.
P. Lelong, Eléments extrémaux dans le cône des courants positifs fermés de type (1,1) et fonctions plurisousharmoniques extrémales, C. R. Acad. Sci. Paris Sér. A 273 (1971), 665-667.
H. El Mir, personal communication.
E. A. Poletsky, personal communication.
J. Siciak, Extremal Plurisubharmonic Functions and Capacities in $ℂ^{n}$ , Sophia Kokyuroku in Math. 14, Sophia University, Tokyo, 1982.