Open AccessEqulibrium measure of a product subset of ℂⁿ
Author(s) -
Zbigniew Błocki
Publication year - 2000
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-00-05552-0
Subject(s) - algorithm , artificial intelligence , computer science
In this note we show that an equilibrium measure of a product of two subsets of C n {\mathbb {C}}^{n} and C m {\mathbb {C}}^{m} , respectively, is a product of their equilibrium measures. We also obtain a formula for ( d d c max { u , v } ) p (dd^{c}\max \{u,v\})^{p} , where u , v u,v are locally bounded plurisubharmonic functions and 2 ≤ p ≤ n 2\leq p\leq n .