On boundary behavior of the Bergman kernel function and related domain functionals

Bruce Langworthy Chalmers

Vol. 29 (1969), No. 2, 243–250

DOI: 10.2140/pjm.1969.29.243

Abstract

Bergman and Hörmander have studied the boundary behavior of the Bergman kernel function for domains in ⁿ, 2 ≦ n < ∞, with strictly pseudo-convex boundaries. It is the purpose of this paper to extend these results to a larger and more general class of domains with so called strictly (p,q)-pseudo-convex boundaries.

Mathematical Subject Classification

Primary: 32.35

Milestones

Received: 24 June 1968

Revised: 19 August 1968

Published: 1 May 1969