Zeros of Bergman kernels on some Hartogs domains 被引量：1

Zeros of Bergman kernels on some Hartogs domains

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摘要 Explicit Bergman kernels are obtained on some Hartogs domains.For some special cases, zeros of the kernels are considered. Explicit Bergman kernels are obtained on some Hartogs domains. For some special cases, zeros of the kernels are considered.

作者 PARK Jong-Do

机构地区 School of Mathematics

出处《Science China Mathematics》 SCIE 2009年第12期2730-2742,共13页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China(Grant No.10771144) Beijing Natural Science Foundation(Grant No.1082005)

关键词 Bergman kernel Lu’s conjecture Lu Qikeng domain 32H02 32F45 Bergman kernel Lu’s conjecture Lu Qikeng domain

分类号 O174 [理学—基础数学]

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参考文献4

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共引文献26

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：3
2WANG An.The Einstein-Kahler metrics on Cartan-Hartogs domain of the first type[J].Science China Mathematics,2004,47(2):220-235. 被引量：7
3Roos GUY.New classes of domains with explicit Bergman kernel[J].Science China Mathematics,2004,47(3):352-371. 被引量：9
4殷慰萍,赵振刚.Bergman kernel on generalized exceptional Hua domain[J].Science China Mathematics,2002,45(3):321-334.
5YIN WeiPing.Lu Qi-Keng conjectue and Hua domain[J].Science China Mathematics,2008,51(4):803-818. 被引量：1
6SU Jianbing,YIN Weiping.Extremal problems on the generalized Hua domain of the first type[J].Progress in Natural Science:Materials International,2006,16(4):352-358. 被引量：4
7YIN Wei-ping.Hua domains and complete Einstein-Khler metric[J].商丘师范学院学报,2006,22(5):1-13.
8苏简兵.第一类Cartan-egg域的凸性与Kobayashi度量[J].自然科学进展,2006,16(10):1224-1229. 被引量：4
9王安,殷慰萍,张利友,ROOS Guy.Cartan-Hartogs域的Khler-Einstein度量[J].中国科学（A辑）,2006,36(11):1201-1233. 被引量：1
10殷慰萍,王安.Cartan-Hartogs域经典度量的等价[J].中国科学（A辑）,2007,37(1):113-128. 被引量：5

同被引文献4

1YIN WeiPing.Lu Qi-Keng conjectue and Hua domain[J].Science China Mathematics,2008,51(4):803-818. 被引量：1
2YIN WeipingDepartment of Mathematics , Capital Normal University, Beijing 100037, China.The Bergman kernels on Cartan-Hartogs domains[J].Chinese Science Bulletin,1999,44(21):1947-1951. 被引量：20
3陆启铿.THE CONJUGATE POINTS OF CP^∞ AND THE ZEROES OF BERGMAN KERNEL[J].Acta Mathematica Scientia,2009,29(3):480-492. 被引量：3
4WANG An ,LIU Yu-lan.Zeroes of the Bergman Kernels on Some New Hartogs Domains[J].Chinese Quarterly Journal of Mathematics,2011,26(3):325-334. 被引量：5

引证文献1

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：3

二级引证文献3

1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.
2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.
3程晓亮,崔婉莹.第二类Cartan-Hartogs域上的陆启铿猜想[J].廊坊师范学院学报(自然科学版),2025,25(1):18-22.

1WANG An ,LIU Yu-lan.Zeroes of the Bergman Kernels on Some New Hartogs Domains[J].Chinese Quarterly Journal of Mathematics,2011,26(3):325-334. 被引量：5
2LEE HanJin.Bergman kernel and complex singularity exponent[J].Science China Mathematics,2009,52(12):2590-2603.
3LUKe-ping,ZHAOXiao-xia.The Bergman Kernels on WIII[J].Chinese Quarterly Journal of Mathematics,2004,19(1):24-29.
4武建春,曾朝英.关于图〈c_4,m〉和图(Y from S=1 to l)c_2(4,m_s)的k—优美性[J].集宁师专学报,2002,24(4):3-4.
5Zhen Gang ZHAO.The Harmonic Bergman Kernels for Punctured Domains[J].Acta Mathematica Sinica,English Series,2014,30(11):1977-1988.
6陆启铿.THE CONJUGATE POINTS OF CP^∞ AND THE ZEROES OF BERGMAN KERNEL[J].Acta Mathematica Scientia,2009,29(3):480-492. 被引量：3
7殷慰萍,赵晓霞.The Bergman Kernels andComparison Theorem on Hua Domainof the Third Type[J].数学进展,2000,29(5):473-476. 被引量：1
8YIN WeipingDepartment of Mathematics , Capital Normal University, Beijing 100037, China.The Bergman kernels on Cartan-Hartogs domains[J].Chinese Science Bulletin,1999,44(21):1947-1951. 被引量：20
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10殷慰萍.The Bergman kernels on super-Cartan domains of the first type[J].Science China Mathematics,2000,43(1):13-21. 被引量：6

Science China Mathematics

2009年第12期

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