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International Journal of Mathematics and Mathematical Sciences 
Volume 2006 (2006), Article ID 57340, 3 pages
doi:10.1155/IJMMS/2006/57340

On the mean value property of superharmonic and subharmonic functions

Robert Dalmasso

Laboratoire LMC-IMAG, Equipe EDP, Tour IRMA, BP 53, Grenoble Cedex 9 38041, France

Received 19 October 2005; Revised 25 January 2006; Accepted 16 February 2006

Abstract

We prove a converse of the mean value property for superharmonic and subharmonic functions. The case of harmonic functions was treated by Epstein and Schiffer.