Invariant Mean-Value Property and M-Harmonicity in the Unit Ball of n

Authors
Liu, Cong Wei Shi, Ji Huai
Citation
Liu, Cong Wei et Shi, Ji Huai, Invariant Mean-Value Property and M-Harmonicity in the Unit Ball of n, Acta mathematica Sinica. English series (Print) , 19(1), 2002, pp. 187-200
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
19
Issue
1
Year of publication
2002
Pages
187 - 200
Database
ACNP
SICI code
Abstract
In 1993, Ahern, Flores and Rudin showed that, if f is integrable over the unit ball BnC of n and satisfies BnCfdv=f((0)) for every Aut(BnC), then f is M-harmonic if and only if n 11. The present paper is about an analogous question in the context of the unit ball B n of n as well as in the weighted setting.