A Brief Survey on Dimension Estimate of Holomorphic Functions on Kahler Manifolds

被引：0

作者：

Liu, Gang ^{[1
]}

机构：

[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 04期

基金：

国家重点研发计划;

关键词：

Kahler manifolds; Dimension estimate; Holomorphic functions; GROWTH HARMONIC-FUNCTIONS; LINEAR GROWTH; SECTIONS;

D O I：

10.1007/s12220-022-01160-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We survey on dimension estimate of holomorphic functions on Kahler manifolds with nonnegative curvature.

引用

页数：12

共 10 条

[1] A Brief Survey on Dimension Estimate of Holomorphic Functions on Kähler Manifolds
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[2] THREE-CIRCLE THEOREM AND DIMENSION ESTIMATE FOR HOLOMORPHIC FUNCTIONS ON KAHLER MANIFOLDS
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[3] On the Sharp Dimension Estimate of CR Holomorphic Functions in Sasakian Manifolds
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INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (17) : 12888 - 12924
[4] Dimension Estimate of Polynomial Growth Holomorphic Functions
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[5] Biharmonic holomorphic maps into Kahler manifolds
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[6] HOLOMORPHIC SUBMERSIONS ONTO KAHLER OR BALANCED MANIFOLDS
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[7] Kahler manifolds of quasi-constant holomorphic sectional curvature and generalized Sasakian space forms
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[9] A Family of Holomorphic and m-Fold Symmetric Bi-Univalent Functions Endowed with Coefficient Estimate Problems
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[10] Weighted L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document} Holomorphic Functions on Ball-Fiber Bundles Over Compact Kähler Manifolds
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