A relation between the pluricomplex and the classical Green functions in the unit ball of $\mathbf {C}^n$
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- by Magnus Carlehed PDF
- Proc. Amer. Math. Soc. 125 (1997), 1767-1770 Request permission
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
- Carlehed, M.: Some Properties of the Pluricomplex Green Function and Potentials, Research Reports No. 14, 1995, Umeå University
- L. L. Helms, Introduction to potential theory, Pure and Applied Mathematics, Vol. XXII, Wiley-Interscience [A division of John Wiley & Sons, Inc.], New York-London-Sydney, 1969. MR 0261018
- 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
Additional Information
- Magnus Carlehed
- Affiliation: Mid Sweden University, 831 25 Östersund, Sweden
- Email: magnus.carlehed@ter.mh.se
- Received by editor(s): December 27, 1995
- Communicated by: Eric Bedford
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1767-1770
- MSC (1991): Primary 32F05; Secondary 31C05
- DOI: https://doi.org/10.1090/S0002-9939-97-03835-5
- MathSciNet review: 1389508