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Equlibrium measure of a product subset of ${\mathbb{C} }^{n}$


Author: Zbigniew Blocki
Journal: Proc. Amer. Math. Soc. 128 (2000), 3595-3599
MSC (2000): Primary 32U15; Secondary 32W20
DOI: https://doi.org/10.1090/S0002-9939-00-05552-0
Published electronically: June 7, 2000
MathSciNet review: 1707508
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Abstract: In this note we show that an equilibrium measure of a product of two subsets of ${\mathbb{C} }^{n}$ and ${\mathbb{C} }^{m}$, respectively, is a product of their equilibrium measures. We also obtain a formula for $(dd^{c}\max \{u,v\})^{p}$, where $u,v$ are locally bounded plurisubharmonic functions and $2\leq p\leq n$.


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Additional Information

Zbigniew Blocki
Affiliation: Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Email: blocki@im.uj.edu.pl

DOI: https://doi.org/10.1090/S0002-9939-00-05552-0
Received by editor(s): February 18, 1999
Published electronically: June 7, 2000
Additional Notes: This work was partially supported by KBN Grant #2PO3A00313.
Communicated by: Steven R. Bell
Article copyright: © Copyright 2000 American Mathematical Society

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