Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

A relation between the pluricomplex and the classical Green functions in the unit ball of $\mathbf {C}^n$

Author(s): Magnus Carlehed
Journal: Proc. Amer. Math. Soc. 125 (1997), 1767-1770.
MSC (1991): Primary 32F05; Secondary 31C05
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: We give a sharp upper bound for the quotient of the pluricomplex and the classical Green functions in the unit ball of $\mathbf {C}^n$.


References:

[Ca]
Carlehed, M.: Some Properties of the Pluricomplex Green Function and Potentials, Research Reports No. 14, 1995, UmeåUniversity
[H]
Helms, L.L.: Introduction to Potential Theory, Wiley-Interscience 1969 MR 41:5638
[K]
Klimek, M.: Pluripotential Theory, Clarendon Press 1991 MR 93h:32021


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 32F05, 31C05

Retrieve articles in all Journals with MSC (1991): 32F05, 31C05


Additional Information:

Magnus Carlehed
Affiliation: Mid Sweden University, 831 25 Östersund, Sweden
Email: magnus.carlehed@ter.mh.se

DOI: 10.1090/S0002-9939-97-03835-5
PII: S 0002-9939(97)03835-5
Keywords: Classical Green function, pluricomplex Green function
Received by editor(s): December 27, 1995
Communicated by: Eric Bedford
Copyright of article: Copyright 1997, American Mathematical Society


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google