Local Inequalities for Plurisubharmonic Functions
Copyright policy )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.
23 pages, published version
Pluriharmonic and plurisubharmonic functions, BMO-function, Mathematics - Complex Variables, Banach spaces of continuous, differentiable or analytic functions, Euclidean ball, FOS: Mathematics, Brudnyǐ-Ganzburg type inequality, Complex Variables (math.CV), Plurisubharmonic functions and generalizations, Harmonic, subharmonic, superharmonic functions in higher dimensions, plurisubharmonic function
Pluriharmonic and plurisubharmonic functions, BMO-function, Mathematics - Complex Variables, Banach spaces of continuous, differentiable or analytic functions, Euclidean ball, FOS: Mathematics, Brudnyǐ-Ganzburg type inequality, Complex Variables (math.CV), Plurisubharmonic functions and generalizations, Harmonic, subharmonic, superharmonic functions in higher dimensions, plurisubharmonic function
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