On the mean-value property of superharmonic functions
Volume 93 / 2008
                    
                    
                        Annales Polonici Mathematici 93 (2008), 85-90                    
                                        
                        MSC: Primary 31B05.                    
                                        
                        DOI: 10.4064/ap93-1-7                    
                                    
                                                Abstract
We complement a previous result concerning a converse of the mean-value property for smooth superharmonic functions. The case of harmonic functions was treated by Kuran and an improvement was given by Armitage and Goldstein.