Subharmonic functions, mean value inequality, boundary behavior, nonintegrability and exceptional sets
Analysis of PDEs
2007-05-23 v3 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.math/0312508,
title = {Subharmonic functions, mean value inequality, boundary behavior, nonintegrability and exceptional sets},
author = {Juhani Riihentaus},
journal= {arXiv preprint arXiv:math/0312508},
year = {2007}
}
Comments
13 pages; a talk at the International Workshop on Potential Theory and Free Boundary Flows, Ukraine, Kiev, 19-27 August 2003