Invariants related to the Bergman kernel of a bounded domain in $\textbf {C}^{n}$
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- by Tadayoshi Kanemaru PDF
- Proc. Amer. Math. Soc. 92 (1984), 198-200 Request permission
Abstract:
In this paper we introduce biholomorphic invariants using the Bergman kernel function of a bounded domain in ${{\mathbf {C}}^n}$.References
- Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950. MR 0038439, DOI 10.1090/surv/005 J. Burbea, Minimum methods in Hilbert spaces with kernel function, Ph. D. Thesis, Stanford Univ., Stanford, Calif., 1971.
- Tadayoshi Kanemaru, Invariant metrics on a bounded domain in $\textbf {C}^{n}$, Mem. Fac. Ed. Kumamoto Univ. Natur. Sci. 30 (1981), 1–4. MR 638971
- Shigeo Ozaki and Yoshiaki Tashiro, Mapping function onto the representative domain and its properties, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A 10 (1969), 164–167 (1969). MR 262544
- Maciej Skwarczyński, Biholomorphic invariants related to the Bergman function, Dissertationes Math. (Rozprawy Mat.) 173 (1980), 59. MR 575756
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 198-200
- MSC: Primary 32H10; Secondary 32H05
- DOI: https://doi.org/10.1090/S0002-9939-1984-0754702-9
- MathSciNet review: 754702