Weighted Composition Operators Between Different Fock Spaces

被引：32
|
作者：
Pham Trong Tien [1 ]
Khoi, Le Hai [2 ]
机构：
[1] Hanoi Univ Sci, Dept Math Mech & Informat, VNU, 334 Nguyen Trai, Hanoi, Vietnam
[2] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
来源：
POTENTIAL ANALYSIS | 2019年 / 50卷 / 02期
关键词：
Fock space; Weighted composition operator; Essential norm; Compact difference; Topological structure; TOPOLOGICAL-STRUCTURE; COMPACT DIFFERENCES; COMPONENTS;
D O I：
10.1007/s11118-017-9678-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study weighted composition operators acting between Fock spaces. The following results are obtained: (i) Criteria for the boundedness and compactness.(ii) Characterizations of compact differences and essential norm.(iii) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators.
引用
收藏
页码：171 / 195
页数：25
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