523 research outputs found
Local inequalities for plurisubharmonic functions
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 of the author.Comment: 23 pages, published versio
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