Integrable harmonic functions on Rn

Yaakov Ben Natan, Yitzhak Weit

Research output: Contribution to journalArticlepeer-review


A class of radial measuresμon Rnis defined so that integrable harmonic functionsfon Rnmay be characterized as solutions of convolution equationsf*μ=f. In particular we show thatf*e-2*π|x|) is harmonic if and only ifn<9.

Original languageEnglish
Pages (from-to)471-477
Number of pages7
JournalJournal of Functional Analysis
Issue number2
StatePublished - Nov 1997

ASJC Scopus subject areas

  • Analysis


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