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

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We 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.
13 pages; a talk at the International Workshop on Potential Theory and Free Boundary Flows, Ukraine, Kiev, 19-27 August 2003

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Analysis of PDEs, Classical Analysis and ODEs, 32U05, 32D20, 31B05, 31B25

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http://salesiana.dossiersoluciones.com/handle/123456789/99934

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312508
 http://arxiv.org/abs/math/0312508
 Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, vol. 1, no. 1 (2004), pp. 169-191

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arXiv