Characterization of harmonic and subharmonic functions via mean-value properties

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We give a characterization of harmonic and subharmonic functions in terms of their mean values in balls and on spheres. This includes the converse of an inequality of Beardon's for subharmonic functions. We also obtain integral inequalities of Harnack type between these two means in general domains.
9 pages

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Analysis of PDEs, Classical Analysis and ODEs, 31B05

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http://salesiana.dossiersoluciones.com/handle/123456789/61626

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106078
 http://arxiv.org/abs/math/0106078

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arXiv