The Dirichlet problem for some overdetermined systems on the unit ball in Cⁿ

Eric Bedford

Vol. 51 (1974), No. 1, 19–25

DOI: 10.2140/pjm.1974.51.19

Abstract

A characterization is given of those functions on ∂Bⁿ = {|z| = 1} which can be extended to be analytic, pluriharmonic, or n-harmonic in Bⁿ = {|z| < 1}.

Mathematical Subject Classification 2000

Primary: 35N15

Milestones

Received: 4 October 1972

Published: 1 March 1974