Mean-value characterization of pluriharmonic and separately harmonic functions

L. A. Aizenberg, C. A. Berenstein, L. Wertheim

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We show that separately harmonic functions and pluriharmonic functions in Cn can be characterized by a finite number of mean-value conditions over boundaries of ellipsoids or distinguished boundaries of polydisks. This is a generalization of the Delsarte-Lions characterization of harmonic functions and of the Morera theorem for holomorphic functions.

Original languageEnglish
Pages (from-to)295-306
Number of pages12
JournalPacific Journal of Mathematics
Volume175
Issue number2
DOIs
StatePublished - Oct 1996
Externally publishedYes

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