# An energy estimate for the complex Monge-Ampère operator

Annales Polonici Mathematici (1997)

- Volume: 67, Issue: 1, page 95-102
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topUrban Cegrell, and Leif Persson. "An energy estimate for the complex Monge-Ampère operator." Annales Polonici Mathematici 67.1 (1997): 95-102. <http://eudml.org/doc/270248>.

@article{UrbanCegrell1997,

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.},

author = {Urban Cegrell, Leif Persson},

journal = {Annales Polonici Mathematici},

keywords = {capacity; complex Monge-Ampère operator; energy estimate; plurisubharmonic function; comparison theorem},

language = {eng},

number = {1},

pages = {95-102},

title = {An energy estimate for the complex Monge-Ampère operator},

url = {http://eudml.org/doc/270248},

volume = {67},

year = {1997},

}

TY - JOUR

AU - Urban Cegrell

AU - Leif Persson

TI - An energy estimate for the complex Monge-Ampère operator

JO - Annales Polonici Mathematici

PY - 1997

VL - 67

IS - 1

SP - 95

EP - 102

AB - 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.

LA - eng

KW - capacity; complex Monge-Ampère operator; energy estimate; plurisubharmonic function; comparison theorem

UR - http://eudml.org/doc/270248

ER -

## References

top- [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. Zbl0547.32012
- [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. Zbl0831.31008
- [5] U. Cegrell, Pluricomplex energy, Acta Math., to appear. Zbl40.0098.04
- [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. Zbl1045.34056

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.