Regularity of the Bergman projection in certain nonpseudoconvex domains

Steven Robert Bell

Vol. 105 (1983), No. 2, 273–277

DOI: 10.2140/pjm.1983.105.273

Abstract

Suppose D is a smooth bounded domain contained in Cⁿ (n ≥ 2) whose Bergman projection satisfies global regularity estimates, and suppose K is a compact subset of D such that D − K is connected. The purpose of this note is to prove that, under these circumstances, the Bergman projection associated to the domain D − K satisfies global regularity estimates.

Mathematical Subject Classification 2000

Primary: 32H10

Secondary: 32H99

Milestones

Received: 5 August 1981

Revised: 11 November 1981

Published: 1 April 1983