ArticleOriginal scientific text

Title

An energy estimate for the complex Monge-Ampère operator

Authors 1, 1

Affiliations

  1. Department of Mathematics, Umeå University, S-901 87 Umeå, Sweden

Abstract

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.

Keywords

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

Bibliography

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  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.
Pages:
95-102
Main language of publication
English
Received
1996-10-10
Published
1997
Exact and natural sciences