An energy estimate for the complex Monge-Ampère operator

• Autorzy: Urban Cegrell , Leif Persson
• Języki publikacji: EN

Abstrakty

EN

We prove an energy estimate for the complex Monge-Ampère operator, and a comparison theorem for the corresponding capacity and energy. The results are pluricomplex counterparts to results in classical potential theory.

Słowa kluczowe

EN

capacity; complex Monge-Ampère operator; energy estimate; plurisubharmonic function

Kategorie tematyczne

• 31C10: Pluriharmonic and plurisubharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 67
• Numer: 1
• Strony: 95-102

Daty

wydano

1997

otrzymano

1996-10-10

Twórcy

autor

Urban Cegrell

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

autor

Leif Persson

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

Bibliografia

• [1] E. Bedford, Survey of pluri-potential theory, in: Several Complex Variables, Proc. Mittag-Leffler Institute, 1987-88, J. E. Fornaess (ed.), Math. Notes 38, Princeton Univ. Press, 1993, 48-97.
• [2] E. Bedford and B. A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40.
• [3] L. Carleson, Selected Problems on Exceptional Sets, Van Nostrand, Princeton, N.J., 1967.
• [4] U. Cegrell, The symmetric pluricomplex Green function, in: Banach Center Publ. 31, Inst. Math., Polish Acad. Sci., Warszawa, 1995, 135-141.
• [5] U. Cegrell, Pluricomplex energy, Acta Math., to appear.
• [6] N. S. Landkof, Foundations of Modern Potential Theory, Springer, 1972.
• [7] L. Persson, A Dirichlet principle for the complex Monge-Ampère operator, Research Report No. 8, 1997, Dept. Math., Umeå University.