BISECTORS IN THE HEISENBERG GROUP I

被引：0

作者：

Gou, Gaoshun ^{[1
]}

Jiang, Yueping ^{[2
]}

Platis, Ioannis d. ^{[3
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Sch Automat, Chongqing 400065, Peoples R China

[2] Hunan Univ, Dept Math, Changsha 410082, Peoples R China

[3] Univ Crete, Dept Math & Appl Math, Univ Campus, GR-70013 Iraklion, Greece

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 60卷 / 01期

关键词：

Bisector; Heisenberg group; Koranyi metric;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that metric bisectors with respect to the Koranyi metric in the Heisenberg group are spinal spheres and vice versa. We also calculate explicitly their horizontal mean curvature.

引用

页码：225 / 235

页数：11

共 12 条

[1] PROPERTIES OF DUAL TOEPLITZ OPERATORS WITH APPLICATIONS TO HAPLITZ PRODUCTS ON THE HARDY SPACE OF THE POLYDISK [J].

Benaissa, Lakhdar ;

Guediri, Hocine .

TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (01) :31-49

[2] Toeplitz and Hankel operators with L∞,1 symbols on Dirichlet space [J].

Chen, Yong ;

Nguyen Quang Dieu .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) :368-376

[3] Products of block Toeplitz operators [J].

Gu, CX ;

Zheng, DC .

PACIFIC JOURNAL OF MATHEMATICS, 1998, 185 (01) :115-148

[4] Dual Toeplitz operators on the sphere [J].

Guediri, Hocine .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (09) :1791-1808

[5]

Kong LH, 2018, HOUSTON J MATH, V44, P169

[6] Algebraic properties of Toeplitz operators on the Dirichlet space [J].

Lee, Young Joo .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (02) :1316-1329

[7] Sums of Products of Toeplitz and Hankel Operators on the Dirichlet Space [J].

Lee, Young Joo ;

Zhu, Kehe .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (02) :275-302

[8] Algebraic and spectral properties of dual Toeplitz operators [J].

Stroethoff, K ;

Zheng, DC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (06) :2495-2520

[9]

Wu Z., 1998, Math. Sci. Res. Inst. 33, P179

[10] Operators on the orthogonal complement of the Dirichlet space (II) [J].

Yu Tao .

SCIENCE CHINA-MATHEMATICS, 2011, 54 (09) :2005-2012

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