Sharp dimension estimates of holomorphic functions and rigidity

Authors:
Bing-Long Chen, Xiao-Yong Fu, Le Yin and Xi-Ping Zhu

Journal:
Trans. Amer. Math. Soc. **358** (2006), 1435-1454

MSC (2000):
Primary 32Q30; Secondary 32Q10, 32Q15

DOI:
https://doi.org/10.1090/S0002-9947-05-04105-X

Published electronically:
November 18, 2005

MathSciNet review:
2186981

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a complete noncompact Kähler manifold of complex dimension with nonnegative holomorphic bisectional curvature. Denote by the space of holomorphic functions of polynomial growth of degree at most on . In this paper we prove that

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Additional Information

**Bing-Long Chen**

Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, 510275, People’s Republic of China

**Xiao-Yong Fu**

Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, 510275, People’s Republic of China

**Le Yin**

Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, 510275, People’s Republic of China

**Xi-Ping Zhu**

Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, 510275, People’s Republic of China

DOI:
https://doi.org/10.1090/S0002-9947-05-04105-X

Received by editor(s):
October 1, 2003

Published electronically:
November 18, 2005

Additional Notes:
The first author was partially supported by NSFC 10401042 and FANEDD 200216. The second author was partially supported by NSFC 10171114. The last author was partially supported by NSFC 10428102.

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.