On definitions of the pluricomplex Green function

Armen Edigarian

Annales Polonici Mathematici (1997)

  • Volume: 67, Issue: 3, page 233-246
  • ISSN: 0066-2216

Abstract

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We give several definitions of the pluricomplex Green function and show their equivalence.

How to cite

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Armen Edigarian. "On definitions of the pluricomplex Green function." Annales Polonici Mathematici 67.3 (1997): 233-246. <http://eudml.org/doc/270432>.

@article{ArmenEdigarian1997,
abstract = {We give several definitions of the pluricomplex Green function and show their equivalence.},
author = {Armen Edigarian},
journal = {Annales Polonici Mathematici},
keywords = {pluricomplex Green function; Blaschke product; Riesz representation; plurisubharmonic functions; pluricomplex Green's function; holomorphic mappings},
language = {eng},
number = {3},
pages = {233-246},
title = {On definitions of the pluricomplex Green function},
url = {http://eudml.org/doc/270432},
volume = {67},
year = {1997},
}

TY - JOUR
AU - Armen Edigarian
TI - On definitions of the pluricomplex Green function
JO - Annales Polonici Mathematici
PY - 1997
VL - 67
IS - 3
SP - 233
EP - 246
AB - We give several definitions of the pluricomplex Green function and show their equivalence.
LA - eng
KW - pluricomplex Green function; Blaschke product; Riesz representation; plurisubharmonic functions; pluricomplex Green's function; holomorphic mappings
UR - http://eudml.org/doc/270432
ER -

References

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  1. [H] K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, 1962. Zbl0117.34001
  2. [J-P] M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, de Gruyter, 1993. Zbl0789.32001
  3. [K] M. Klimek, Pluripotential Theory, Oxford Univ. Press, 1991. 
  4. [N] K. Noshiro, Cluster Sets, Springer, 1960. Zbl0090.28801
  5. [P1] E. A. Poletsky, Holomorphic currents, Indiana Univ. Math. J. 42 (1993), 85-144. Zbl0811.32010
  6. [P2] E. A. Poletsky, Plurisubharmonic functions as solutions of variational problems, in: Proc. Sympos. Pure Math. 52, Amer. Math. Soc., 1991, 163-171. Zbl0739.32015
  7. [P-S] E. A. Poletsky and B. V. Shabat, Invariant metrics, in: Several Complex Variables III, G. M. Khenkin (ed.), Springer, 1989, 63-112. 
  8. [R] W. Rudin, Real and Complex Analysis, McGraw-Hill, 1974. Zbl0278.26001

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