Journal of Siberian Federal University. Mathematics & Physics / Relationship Between the Bergman and Cauchy-Szeg¨o Ker- nels in the Domains + (n -1) and ℜn I V

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (5)
Authors
Khudayberganov, Gulmirza Kh.; Abdullayev, Jonibek Sh.
Contact information
Khudayberganov, Gulmirza Kh.: National University of Uzbekistan Tashkent, Uzbekistan; ; Abdullayev, Jonibek Sh.: National University of Uzbekistan Tashkent, Uzbekistan;
Keywords
classical domains; Lie ball; future tube; Shilov’s boundary; Jacobian; Bergman’s kernel; Cauchy-Szeg¨o’s kernel; Poisson’s kernel
Abstract

In this paper, a connection has been established between the Bergman and Cauchy-Szeg¨o kernels using the biholomorphic equivalence of the domains + (n -1) and the Lie ball ℜn I V . Moreover, integral representations of holomorphic functions in these domains are obtain

Pages
559–567
DOI
10.17516/1997-1397-2020-13-5-559-567
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/135906