Uniform algebras generated by holomorphic and pluriharmonic functions on strictly pseudoconvex domains

Alexander Izzo

Vol. 171 (1995), No. 2, 429–436

DOI: 10.2140/pjm.1995.171.429

Abstract

It is shown that if f₁,…,f_n are pluriharmonic functions on a strictly pseudoconvex domain Ω ⊂ ℂⁿ that are C¹ on Ω, and the n × n matrix (∂f_j∕∂z_k) is invertible at every point of Ω, then the norm-closed algebra generated by A(Ω) and f₁,…,f_n is equal to C(Ω).

Mathematical Subject Classification 2000

Primary: 46J15

Secondary: 32F05

Milestones

Received: 25 February 1993

Revised: 24 June 1993

Published: 1 December 1995