Zeroes of the Bergman Kernels on Some New Hartogs Domains 被引量：5

Zeroes of the Bergman Kernels on Some New Hartogs Domains

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摘要 We obtain the Bergman kernel for a new type of Hartogs domain.The corresponding LU Qi-Keng's problem is considered. We obtain the Bergman kernel for a new type of Hartogs domain.The corresponding LU Qi-Keng’s problem is considered.

作者 WANG An ,LIU Yu-lan

机构地区 School of Mathematical Sciences

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第3期325-334,共10页 数学季刊（英文版）

基金 Supported by the NSFC（10771144 11071171） Supported by the Beijing Natural Science Foundation（1082005） Supported by the Excellent Doctoral Thesis Prize of Beijing（2008）

关键词 grouping circular domain Bergman kernel function LU Qi-Keng domain grouping circular domain Bergman kernel function LU Qi-Keng domain

分类号 O174.55 [理学—基础数学]

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参考文献9

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二级参考文献1

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共引文献5

1YIN WeiPing,YIN XiaoLan.On the solution of Dirichlet problem of complex Monge-Ampère equation on Cartan-Hartogs domain of the second type[J].Science China Mathematics,2009,52(12):2829-2840.
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同被引文献32

1XU Yichao,CHEN Minru & MA Songya Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China,College of Mathematics and Information Sciences, Henan University, Kaifeng 475001, China.Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains[J].Science China Mathematics,2006,49(10):1392-1404. 被引量：4
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5LIU TAISHUN,(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)REN GUANGBIN,(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China).THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS[J].Chinese Annals of Mathematics,Series B,1998,19(4):401-408. 被引量：39
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7冯淑霞,刘太顺,任广斌.复Banach空间单位球上几类映射的增长掩盖定理[J].数学年刊（A辑）,2007,28(2):215-230. 被引量：25
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9苏简兵.第一类超Cartan域上的不变度量(英文)[J].数学进展,2007,36(6):686-692. 被引量：2
10冯淑霞,刘太顺.THE GENERALIZED ROPER-SUFFRIDGE EXTENSION OPERATOR[J].Acta Mathematica Scientia,2008,28(1):63-80. 被引量：29

引证文献5

1Xin ZHAO,An WANG.Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain[J].Chinese Annals of Mathematics,Series B,2022,43(2):265-280. 被引量：2
2王安,李志强.底空间为对称域乘积的Hartogs域的度量等价[J].数学学报（中文版）,2013,56(6):871-888. 被引量：2
3潘利双,王安.Bergman-Hartogs型域的全纯自同构群[J].中国科学：数学,2015,45(1):31-42. 被引量：2
4Yan Yan CUI,Chao Jun WANG,Hao LIU.Biholomorphic Mappings and the Extension Operators on New Hartogs Domains[J].Acta Mathematica Sinica,English Series,2019,35(5):671-689. 被引量：1
5崔艳艳,刘浩.Hartogs域上延拓算子的性质[J].数学年刊（A辑）,2019,40(2):139-156.

二级引证文献6

1叶薇薇,王雪.一类Cartan域直积构成底空间的Hartogs域度量比较定理[J].阜阳师范学院学报（自然科学版）,2016,33(2):4-6.
2金帅.一种证明B_2×B_2上全纯自同构群的新方法[J].新乡学院学报,2017,34(12):1-3. 被引量：1
3崔艳艳,刘浩.Hartogs域上延拓算子的性质[J].数学年刊（A辑）,2019,40(2):139-156.
4苏简兵,吴鑫.一类广义Cartan-Hartogs域上加权Bloch空间之间复合算子的有界性和紧性[J].数学年刊（A辑）,2023,44(4):435-448.
5王安,赵昕,席永浩.一类例外Forelli-Rudin结构的Bergman核函数[J].首都师范大学学报（自然科学版）,2024,45(1):52-59.
6程晓亮,付瑀.一类华罗庚域的Bergman核函数的显式表达[J].华南师范大学学报（自然科学版）,2024,56(2):105-109.

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Chinese Quarterly Journal of Mathematics

2011年第3期

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