Gaussian curvature of the Bergman metric with weighted Bergman kernel on the unit disc

• Autorzy: Szajewska M.
• Języki publikacji: EN

Abstrakty

EN

In the paper Gaussian curvature of Bergman metric on the unit disc and the dependence of this curvature on the weight function has been studied.

Słowa kluczowe

EN

Bergman metric; weighted Bergman kernel; Gaussian curvature

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 3
• Strony: 637--644
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Szajewska M.

• Institute Of Mathematics University Of Bialystok Akademicka 2 15-267 Białystok, Poland,

Bibliografia

• [1] S. Dragomir, On weighted Bergman kernels of bounded domains, Studia Math. 108 (1994), 149–157.
• [2] S. G. Krantz, Function Theory of Several Complex Variables, AMS Chelsea Publ., Rhode Island, 1992.
• [3] S. G. Krantz, J. Yu, On the Bergman invariant and curvatures of the Bergman metric, Illinois J. Math. 40 (1996), 226–244.
• [4] Z. Pasternak-Winiarski, On the dependence of the reproducing kernel on the weight of integration, J. Funct. Anal. 94 (1990), 110–134.