English

A generalized mean value inequality for subharmonic functions and applications

Classical Analysis and ODEs 2007-05-23 v2 Analysis of PDEs

Abstract

We generalize the well-known mean value inequality of subharmonic functions for a slightly more general function class. We also apply this generalized mean value inequality to weighted boundary behavior and nonintegrability questions of subharmonic and superharmonic functions.

Keywords

Cite

@article{arxiv.math/0302261,
  title  = {A generalized mean value inequality for subharmonic functions and applications},
  author = {Juhani Riihentaus},
  journal= {arXiv preprint arXiv:math/0302261},
  year   = {2007}
}

Comments

10 pages