The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros

被引：16

作者：

Nikolov, Nikolai ^{[1
]}

Zwonek, Wlodzimierz

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Sofia 1113, Bulgaria

[2] Uniwersytet Jagiellonski, Inst Matemat, PL-30059 Krakow, Poland

来源：

ARCHIV DER MATHEMATIK | 2006年 / 87卷 / 05期

关键词：

D O I：

10.1007/s00013-006-1801-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Bergman kernel of the symmetrized polydisc in dimension greater than two has zeros.

引用

页码：412 / 416

页数：5

共 12 条

[1] The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros
Nikolai Nikolov
Włodzimierz Zwonek
[J]. Archiv der Mathematik, 2006, 87 : 412 - 416
[2] REPRODUCING KERNEL FOR A CLASS OF WEIGHTED BERGMAN SPACES ON THE SYMMETRIZED POLYDISC
Misra, Gadadhar
Roy, Subrata Shyam
Zhang, Genkai
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (07) : 2361 - 2370
[3] The Lempert function of the symmetrized polydisc in higher dimensions is not a distance
Nikolov, Nikolai
Pflug, Peter
Zwonek, Wlodzimierz
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (09) : 2921 - 2928
[4] Lifting Maps from the Symmetrized Polydisc in Small Dimensions
Nikolov, Nikolai
Thomas, Pascal J.
Tran, Duc-Anh
[J]. Complex Analysis and Operator Theory, 2016, 10 (05) : 921 - 941
[5] Lifting Maps from the Symmetrized Polydisc in Small Dimensions
Nikolai Nikolov
Pascal J. Thomas
Duc-Anh Tran
[J]. Complex Analysis and Operator Theory, 2016, 10 : 921 - 941
[6] The Zeros of the Bergman Kernel for Some Reinhardt Domains
Park, Jong-Do
[J]. JOURNAL OF FUNCTION SPACES, 2016, 2016
[7] The explicit forms and zeros of the Bergman kernel function for Hartogs type domains
Ahn, Heungju
Park, Jong-Do
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (08) : 3518 - 3547
[8] THE REPRESENTATION OF HOLOMORPHIC FUNCTIONS ON THE QUASI-CIRCULAR DOMAIN AND THE BERGMAN KERNEL FUNCTION ON THE SYMMETRIZED BALL
Zhong, Chengchen
Pan, Lishuang
Wang, An
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2022, 48 (01): : 59 - 75
[9] THE FIRST TERMS IN THE EXPANSION OF THE BERGMAN KERNEL IN HIGHER DEGREES
Puchol, Martin
Zhu, Jialin
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2015, 274 (02) : 373 - 403
[10] The explicit forms and zeros of the Bergman kernel for 3-dimensional Hartogs triangles
Park, Jong-Do
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 460 (02) : 954 - 975

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