Extremal plurisubharmonic functions

• Autorzy: Urban Cegrell , Johan Thorbiörnson
• Języki publikacji: EN

Abstrakty

EN

We study different notions of extremal plurisubharmonic functions.

Słowa kluczowe

EN

extremal plurisubharmonic function; pluricomplex Green function

Kategorie tematyczne

• 31C10: Pluriharmonic and plurisubharmonic functions
• 31C05: Harmonic, subharmonic, superharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996
• Tom: 63
• Numer: 1
• Strony: 63-69

Daty

wydano

1996

otrzymano

1994-09-16

poprawiono

1995-01-15

Twórcy

autor

Urban Cegrell

• Department of Mathematics, University of Umeå, S-901 87 Umeå, Sweden

autor

Johan Thorbiörnson

• Department of Mathematics, Mid Sweden University, S-851 70 Sundsvall, Sweden

Bibliografia

• [1] E. Bedford and B. A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40.
• [2] U. Cegrell, Sums of continuous plurisubharmonic functions and the Monge-Ampère operator in $ℂ^n$, Math. Z. 193 (1986), 373-380.
• [3] G. Choquet, Lectures on Analysis, Benjamin, New York, 1969.
• [4] J.-P. Demailly, Courants positifs extrémaux et conjecture de Hodge, Invent. Math. 69 (1982), 347-374.
• [5] 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.
• [6] H. El Mir, personal communication.
• [7] E. A. Poletsky, personal communication.
• [8] J. Siciak, Extremal Plurisubharmonic Functions and Capacities in $ℂ^n$, Sophia Kokyuroku in Math. 14, Sophia University, Tokyo, 1982.