2003•arXiv (Cornell University)Open access

A generalized mean value inequality for subharmonic functions and applications

Juhani Riihentaus

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Abstract

We generalize the well-known mean value inequality of subharmonic functions for a slightly more general function class. We also apply this generalized mean value inequality to weighted boundary behavior and nonintegrability questions of subharmonic and superharmonic functions.

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What this paper is about

We generalize the well-known mean value inequality of subharmonic functions for a slightly more general function class. We also apply this generalized mean value inequality to weighted boundary behavior and nonintegrability questions of subharmonic and superharmonic functions.

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Available abstract

We generalize the well-known mean value inequality of subharmonic functions for a slightly more general function class. We also apply this generalized mean value inequality to weighted boundary behavior and nonintegrability questions of subharmonic and superharmonic functions.

Key concepts: Subharmonic, Inequality, Mathematics, Value (mathematics), Applied mathematics, Mathematical economics, Subharmonic function, Mathematical analysis

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