Equlibrium measure of a product subset of ${\mathbb {C}}^{n}$
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- by Zbigniew Błocki PDF
- Proc. Amer. Math. Soc. 128 (2000), 3595-3599 Request permission
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 $2\leq p\leq n$.References
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Additional Information
- Zbigniew Błocki
- Affiliation: Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
- Email: blocki@im.uj.edu.pl
- Received by editor(s): February 18, 1999
- Published electronically: June 7, 2000
- Additional Notes: This work was partially supported by KBN Grant #2 PO3A 003 13.
- Communicated by: Steven R. Bell
- © Copyright 2000 American Mathematical Society
- 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
- MathSciNet review: 1707508