Local inequalities for plursubharmonic functions

Abstract

The main objective of this paper is to prove a new inequality for plurisubharmonic functions estimating their supremum over a ball by their supremum over a measurable subset of the ball. We apply this result to study local properties of polynomial, algebraic and analytic functions. The paper has much in common with an earlier paper [Br] of the author.

DOI

https://doi.org/10.2307/120973

Authors

Alexander Brudnyi