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초록
The present article aims to review some results related to the Levi problem for holomorphic ball bundles over compact complex manifolds. In particular, we introduce a relation between symmetric differentials on compact complex hyperbolic space forms and the weighted L2 holomorphic functions on certain ball bundles. This connection provides a method to understand the weighted Bergman spaces of these bundles without using any ergodicity arguments. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.
키워드
32A05; 32L05; 32W05; Holomorphic ball bundle; Primary 32A36; Secondary 32E40; Symmetric differential; Weakly 1-complete domain; Weighted Bergman space; ∂¯-equation
- 제목
- A Survey on Weighted Bergman Spaces of Holomorphic Ball Bundles
- 저자
- Lee, Seungjae
- 발행일
- 2025
- 유형
- Conference paper
- 저널명
- Springer Proceedings in Mathematics and Statistics
- 권
- 481
- 페이지
- 125 ~ 136
- 언어
- ENG
- 출판사
- Springer
- 분량
- 12 페이지
- ISSN
- E 219-4101
P 2194-1009