pluripolar set


Let Gn and let f:G{-} be a plurisubharmonic functionMathworldPlanetmath which is not identically -. The set 𝒫:={zGf(z)=-} is called a pluripolar set.

If f is a holomorphic functionMathworldPlanetmath then log|f| is a plurisubharmonic function. The zero set of f is then a pluripolar set.


  • 1 Steven G. Krantz. , AMS Chelsea Publishing, Providence, Rhode Island, 1992.
Title pluripolar set
Canonical name PluripolarSet
Date of creation 2013-03-22 14:29:15
Last modified on 2013-03-22 14:29:15
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 5
Author jirka (4157)
Entry type Definition
Classification msc 32U05
Classification msc 31C10