On the dependence of the Bergman function on deformations of the Hartogs domain
Volume 55 / 1991
Annales Polonici Mathematici 55 (1991), 287-300
DOI: 10.4064/ap-55-1-287-300
Abstract
We apply the Rudin idea to represent the Bergman kernel of the Hartogs domain as the sum of a series of weighted Bergman functions in the study of the dependence of this kernel on deformations of the domain. We prove that the Bergman function depends smoothly on the function defining the Hartogs domain.
