Restricted Mean Values And Harmonic Functions

John R. Baxter

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


A function h defined on a region R in Rn will be said to possess a restricted mean value property if the value of the function at each point is equal to the mean value of the function over one open ball in R, with centre at that point. It is proved here that this restricted mean value property implies h is harmonic under certain conditions.

Original languageEnglish (US)
Pages (from-to)451-463
Number of pages13
JournalTransactions of the American Mathematical Society
StatePublished - May 1972


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