Subharmonic functions, mean value inequality, boundary behavior, nonintegrability and exceptional sets

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dc.creatorRiihentaus, Juhani
dc.date2003-12-30
dc.date2006-11-01
dc.date.accessioned2026-07-07T06:35:54Z
dc.date.available2026-07-07T06:35:54Z
dc.descriptionWe begin by shortly recalling a generalized mean value inequality for subharmonic functions, and two applications of it: first a weighted boundary behavior result (with some new references and remarks), and then a borderline case result to Suzuki's nonintegrability results for superharmonic and subharmonic functions. The main part of the talk consists, however, of partial improvements to Blanchet's removable singularity results for subharmonic, plurisubharmonic and convex functions.
dc.description13 pages; a talk at the International Workshop on Potential Theory and Free Boundary Flows, Ukraine, Kiev, 19-27 August 2003
dc.identifierhttps://arxiv.org/abs/math/0312508
dc.identifierhttp://arxiv.org/abs/math/0312508
dc.identifierTransactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, vol. 1, no. 1 (2004), pp. 169-191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99934
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject32U05, 32D20, 31B05, 31B25
dc.titleSubharmonic functions, mean value inequality, boundary behavior, nonintegrability and exceptional sets
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