ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF CN

被引：6
作者：
Zhao, Liankuo [1 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 06期
关键词：
Fock space; weighted composition operator; isometric; unitary; BLOCH SPACE;
D O I：
10.4134/BKMS.b150974
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper gives complete characterization for isometric weighted composition operators on the Fock space of C-N. The main result shows that an isometric weighted composition operator on the Fock space of C-N is a unitary operator.
引用
收藏
页码：1785 / 1794
页数：10
相关论文
共 50 条
[41]   The difference of weighted composition operators on Fock spaces [J].
Yang, Zicong .
MONATSHEFTE FUR MATHEMATIK, 2024, 205 (03) :667-680
[42]   Volterra Type and Weighted Composition Operators on Weighted Fock Spaces [J].
Mengestie, Tesfa .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 76 (01) :81-94
[43]   Volterra Type and Weighted Composition Operators on Weighted Fock Spaces [J].
Tesfa Mengestie .
Integral Equations and Operator Theory, 2013, 76 :81-94
[44]   ISOMETRIC COMPOSITION OPERATORS ON THE FOCK-SPACES [J].
Gupta, Anuradha ;
Sharma, Pooja .
OPERATORS AND MATRICES, 2017, 11 (02) :587-592
[45]   Weighted composition operators from the logarithmic weighted-type space to the weighted Bergman space in Cn [J].
Stevic, Stevo .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (03) :924-928
[46]   Components of the Space of Weighted Composition Operators Between Different Fock Spaces in Several Variables [J].
Khoi, Le Hai ;
Thom, Le Thi Hong ;
Tien, Pham Trong .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (03)
[47]   Components of the Space of Weighted Composition Operators Between Different Fock Spaces in Several Variables [J].
Le Hai Khoi ;
Le Thi Hong Thom ;
Pham Trong Tien .
Mediterranean Journal of Mathematics, 2023, 20
[48]   A note on C-normal weighted composition operators on the Fock space in several variables [J].
Bhuia, Sudip Ranjan .
MONATSHEFTE FUR MATHEMATIK, 2023, 201 (01) :53-64
[49]   A note on C-normal weighted composition operators on the Fock space in several variables [J].
Sudip Ranjan Bhuia .
Monatshefte für Mathematik, 2023, 201 :53-64
[50]   Invertible and Isometric Weighted Composition Operators [J].
Alejandro Mas ;
Dragan Vukotić .
Mediterranean Journal of Mathematics, 2022, 19
12345