A generalized mean value inequality for subharmonic functions and applications

2003/02/21 by Juhani Riihentaus, Riihentaus, Juhani
Mathematics · #31B05 #31B25 (Primary) #31C05 (Secondary) #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/0302261

openalex publication_date 2003/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Hp spaces of several variables

Related

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• Characterization of harmonic and subharmonic functions via mean-value properties
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