Martin compactification for discrete potential theory and the mean value property

1995 ◽  
Vol 4 (5) ◽  
pp. 547-569 ◽  
Author(s):  
Aurel Cornea ◽  
Ji?� Vesel�
Keyword(s):  
Potential Theory ◽  
Mean Value ◽  
Mean Value Property ◽  
Discrete Potential Theory ◽  
The Mean ◽  
Martin Compactification

scholarly journals On the mean value property of superharmonic and subharmonic functions

2006 ◽  
Vol 2006 ◽  
pp. 1-3
Author(s):  
Robert Dalmasso
Keyword(s):  
Harmonic Functions ◽  
Mean Value ◽  
Subharmonic Functions ◽  
Mean Value Property ◽  
The Mean

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.

scholarly journals On the mean value property of fractional harmonic functions

2020 ◽  
Vol 201 ◽  
pp. 112112
Author(s):  
Claudia Bucur ◽  
Serena Dipierro ◽  
Enrico Valdinoci
Keyword(s):  
Harmonic Functions ◽  
Mean Value ◽  
Mean Value Property ◽  
The Mean

On the mean-value property of harmonic functions

1965 ◽  
Vol 14 (1) ◽  
pp. 109-111 ◽  
Author(s):  
Bernard Epstein ◽  
M. M. Schiffer
Keyword(s):  
Harmonic Functions ◽  
Mean Value ◽  
Mean Value Property ◽  
The Mean

The Mean-Value Property

2015 ◽  
Vol 37 (2) ◽  
pp. 9-16
Author(s):  
Vilmos Totik
Keyword(s):  
Mean Value ◽  
Mean Value Property ◽  
The Mean

scholarly journals Lp-functions satisfying the mean value property on homogeneous spaces

1994 ◽  
Vol 56 (3) ◽  
pp. 384-390 ◽  
Author(s):  
A. Sitaram ◽  
G. A. Willis
Keyword(s):  
Homogeneous Spaces ◽  
Mean Value ◽  
Mean Value Property ◽  
Zero Function ◽  
The Mean

AbstractIt is proved that on certain kinds of homogeneous spaces, the only Lp function, 1≤ p < ∞, satisfying the mean value property is the zero function.

Functions Satisfying the Mean Value Property

1962 ◽  
Vol 102 (1) ◽  
pp. 167 ◽  
Author(s):  
Avner Friedman ◽  
Walter Littman
Keyword(s):  
Mean Value ◽  
Mean Value Property ◽  
The Mean
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