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
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 14 条
[1]   On the isometric composition operators on the Bloch space in Cn [J].
Allen, Robert F. ;
Colonna, Flavia .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (02) :675-688
[2]   Isometric weighted composition operators on weighted Banach spaces of type H∞ [J].
Bonet, Jose ;
Lindstroem, Mikael ;
Wolf, Elke .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (12) :4267-4273
[3]  
Feng Lixia, 2015, [Communications in Mathematical Research, 数学研究通讯], V31, P281
[4]   ISOMETRIES OF HP [J].
FORELLI, F .
CANADIAN JOURNAL OF MATHEMATICS, 1964, 16 (04) :721-&
[5]   ISOMETRIES OF WEIGHTED BERGMAN SPACES [J].
KOLASKI, CJ .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1982, 34 (04) :910-915
[6]  
Kumar R, 2005, OPER THEOR, V153, P157
[7]   Normal and isometric weighted composition operators on the Fock space [J].
Le, Trieu .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 :847-856
[8]   Isometries of the Bloch space among the composition operators [J].
Martin, Maria J. ;
Vukotic, Dragan .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2007, 39 :151-155
[9]  
Martín MJ, 2006, CONTEMP MATH, V393, P133
[10]   Isometries of the Dirichlet space among the composition operators [J].
Martín, MJ ;
Vukotic, D .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (06) :1701-1705