Extremal plurisubharmonic functions

Urban Cegrell; Johan Thorbiörnson

Annales Polonici Mathematici (1996)

  • Volume: 63, Issue: 1, page 63-69
  • ISSN: 0066-2216

Abstract

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We study different notions of extremal plurisubharmonic functions.

How to cite

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Urban Cegrell, and Johan Thorbiörnson. "Extremal plurisubharmonic functions." Annales Polonici Mathematici 63.1 (1996): 63-69. <http://eudml.org/doc/262748>.

@article{UrbanCegrell1996,
abstract = {We study different notions of extremal plurisubharmonic functions.},
author = {Urban Cegrell, Johan Thorbiörnson},
journal = {Annales Polonici Mathematici},
keywords = {extremal plurisubharmonic function; pluricomplex Green function; extremal plurisubharmonic functions},
language = {eng},
number = {1},
pages = {63-69},
title = {Extremal plurisubharmonic functions},
url = {http://eudml.org/doc/262748},
volume = {63},
year = {1996},
}

TY - JOUR
AU - Urban Cegrell
AU - Johan Thorbiörnson
TI - Extremal plurisubharmonic functions
JO - Annales Polonici Mathematici
PY - 1996
VL - 63
IS - 1
SP - 63
EP - 69
AB - We study different notions of extremal plurisubharmonic functions.
LA - eng
KW - extremal plurisubharmonic function; pluricomplex Green function; extremal plurisubharmonic functions
UR - http://eudml.org/doc/262748
ER -

References

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  1. [1] E. Bedford and B. A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40. Zbl0547.32012
  2. [2] U. Cegrell, Sums of continuous plurisubharmonic functions and the Monge-Ampère operator in ℂ n , Math. Z. 193 (1986), 373-380. Zbl0624.31004
  3. [3] G. Choquet, Lectures on Analysis, Benjamin, New York, 1969. 
  4. [4] J.-P. Demailly, Courants positifs extrémaux et conjecture de Hodge, Invent. Math. 69 (1982), 347-374. Zbl0488.58001
  5. [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. Zbl0223.31014
  6. [6] H. El Mir, personal communication. 
  7. [7] E. A. Poletsky, personal communication. 
  8. [8] J. Siciak, Extremal Plurisubharmonic Functions and Capacities in ℂ n , Sophia Kokyuroku in Math. 14, Sophia University, Tokyo, 1982. 

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