A theorem on holomorphic extension of CR-functions

Guido Lupacciolu

Vol. 124 (1986), No. 1, 177–191

DOI: 10.2140/pjm.1986.124.177

Abstract

We prove the holomorphic extendabilty on a domain D ⋐ Cⁿ, n ≥ 2, of the continuous CR-functions on a relatively open connected subset of ∂D, provided the complementary subset of ∂D is 𝒪(D)-convex.

Mathematical Subject Classification 2000

Primary: 32D15

Secondary: 32A25

Milestones

Received: 22 October 1984

Published: 1 September 1986