Composition Operators on Hilbert Spaces of Entire Functions of Several Variables

被引：4
|
作者：
Doan, Minh Luan [1 ]
Khoi, Le Hai [1 ]
Le, Trieu [2 ]
机构：
[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
[2] Univ Toledo, Dept Math & Stat, 2801 W Bancroft St, Toledo, OH 43606 USA
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2017年 / 88卷 / 03期
关键词：
Hilbert function spaces; Reproducing kernels; Composition operators; Boundedness; Compactness;
D O I：
10.1007/s00020-017-2384-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study composition operators acting on Hilbert spaces of entire functions in several variables. Depending on the defining weight sequence of the space, different criteria for boundedness and compactness are developed. Our work extends several known results on Fock spaces and other spaces of entire functions.
引用
收藏
页码：301 / 330
页数：30
相关论文
共 50 条
  • [1] Composition Operators on Hilbert Spaces of Entire Functions of Several Variables
    Minh Luan Doan
    Le Hai Khoi
    Trieu Le
    [J]. Integral Equations and Operator Theory, 2017, 88 : 301 - 330
  • [2] Composition operators on Hilbert spaces of entire functions
    Abanin A.V.
    Abanina T.I.
    [J]. Russian Mathematics, 2017, 61 (10) : 1 - 4
  • [3] Hilbert Spaces of Entire Functions and Composition Operators
    Minh Luan Doan
    Le Hai Khoi
    [J]. Complex Analysis and Operator Theory, 2016, 10 : 213 - 230
  • [4] Hilbert Spaces of Entire Functions and Composition Operators
    Doan, Minh Luan
    Khoi, Le Hai
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (01) : 213 - 230
  • [5] Composition operators on Hilbert spaces of entire functions
    Luan, Doan Minh
    Khoi, Le Hai
    [J]. COMPTES RENDUS MATHEMATIQUE, 2015, 353 (06) : 495 - 499
  • [6] Composition operators on Hilbert spaces of entire functions with analytic symbols
    Stochel, Jan
    Stochel, Jerzy Bartlomiej
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 454 (02) : 1019 - 1066
  • [7] Closed range and cyclicity of composition operators on Hilbert spaces of entire functions
    Doan, Minh Luan
    Khoi, Le Hai
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (11) : 1558 - 1569
  • [8] Composition operators between Bergman spaces of functions of several variables
    Koo, H
    Smith, W
    [J]. RECENT ADVANCES IN OPERATOR-RELATED FUNCTION THEORY, 2006, 393 : 123 - +
  • [9] Composition operators on spaces of entire functions
    Chacon, Gerardo A.
    Chacon, Gerardo R.
    Gimenez, Jose
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (07) : 2205 - 2218
  • [10] Hilbert spaces of entire Dirichlet series and composition operators
    Hou Xiaolu
    Hu Bingyang
    Khoi, Le Hai
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 401 (01) : 416 - 429
12345