A generalized mean value inequality for subharmonic functions and applications
Juhani Riihentaus
Abstract
Open-access reader
Juhani Riihentaus
Abstract
Open-access reader
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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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