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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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


Author: Magnus Carlehed
Journal: Proc. Amer. Math. Soc. 125 (1997), 1767-1770
MSC (1991): Primary 32F05; Secondary 31C05
MathSciNet review: 1389508
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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 [Enhancements On Off] (What's this?)

  • [Ca] Carlehed, M.: Some Properties of the Pluricomplex Green Function and Potentials, Research Reports No. 14, 1995, UmeåUniversity
  • [H] L. L. Helms, Introduction to potential theory, Pure and Applied Mathematics, Vol. XXII, Wiley-Interscience A Division of John Wiley & Sons, New York-London-Sydney, 1969. MR 0261018
  • [K] Maciej Klimek, Pluripotential theory, London Mathematical Society Monographs. New Series, vol. 6, The Clarendon Press, Oxford University Press, New York, 1991. Oxford Science Publications. MR 1150978

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Additional Information

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

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03835-5
Keywords: Classical Green function, pluricomplex Green function
Received by editor(s): December 27, 1995
Communicated by: Eric Bedford
Article copyright: © Copyright 1997 American Mathematical Society