Characterization of harmonic and subharmonic functions via mean-value properties

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dc.creatorFreitas, Pedro
dc.creatorMatos, Joao Palhoto
dc.date2001-06-11
dc.date.accessioned2026-07-07T04:42:05Z
dc.date.available2026-07-07T04:42:05Z
dc.descriptionWe 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0106078
dc.identifierhttp://arxiv.org/abs/math/0106078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61626
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject31B05
dc.titleCharacterization of harmonic and subharmonic functions via mean-value properties
dc.typetext

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