Miroslav Engli\v s
Zeroes of the Bergman kernel of Hartogs domains

Comment.Math.Univ.Carolinae 41,1 (2000) 199-202.

Abstract:We exhibit a class of bounded, strongly convex Hartogs domains with real-analytic boundary which are not Lu Qi-Keng, i.e. whose Bergman kernel function has a zero.

Keywords: Lu Qi-Keng conjecture, Hartogs domain, Bergman kernel
AMS Subject Classification: Primary 32A07, 32H10