Composition operators on Hilbert spaces of entire Dirichlet series

被引：1
|
作者：
Hou Xiaolu [1 ]
Hu Bingyang [1 ]
Khoi, Le Hai [1 ]
机构：
[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
来源：
COMPTES RENDUS MATHEMATIQUE | 2012年 / 350卷 / 19-20期
关键词：
D O I：
10.1016/j.crma.2012.10.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this Note, we introduce Hilbert spaces of entire Dirichlet series (with real frequencies) and consider composition operators on these spaces. We establish necessary and sufficient conditions for such series to have Ritt order zero, as well as a finite logarithmic order. Criteria for action, boundedness, compactness and compact difference of such operators are obtained. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：875 / 878
页数：4
相关论文
共 50 条
  • [21] WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES
    王茂发
    姚兴兴
    邓方文
    Acta Mathematica Scientia(English Series), 2018, 38 (04) : 1427 - 1440
  • [22] WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES
    Wang, Maofa
    Yao, Xingxing
    Deng, Fangwen
    ACTA MATHEMATICA SCIENTIA, 2018, 38 (04) : 1427 - 1440
  • [23] Compactness of composition operators on a Hilbert space of Dirichlet series
    Finet, C
    Queffélec, H
    Volberg, A
    JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 211 (02) : 271 - 287
  • [24] Composition operators on spaces of double Dirichlet series
    Bayart, Frederic
    Castillo-Medina, Jaime
    Garcia, Domingo
    Maestre, Manuel
    Sevilla-Peris, Pablo
    REVISTA MATEMATICA COMPLUTENSE, 2021, 34 (01): : 215 - 237
  • [25] Hardy Spaces of Dirichlet Series and Their Composition Operators
    Frédéric Bayart
    Monatshefte für Mathematik, 2002, 136 : 203 - 236
  • [26] New spaces of Dirichlet series and their composition operators
    Bayart, F
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (03): : 207 - 212
  • [27] Composition operators on spaces of double Dirichlet series
    Frédéric Bayart
    Jaime Castillo-Medina
    Domingo García
    Manuel Maestre
    Pablo Sevilla-Peris
    Revista Matemática Complutense, 2021, 34 : 215 - 237
  • [28] Hardy spaces of Dirichlet series and their composition operators
    Bayart, F
    MONATSHEFTE FUR MATHEMATIK, 2002, 136 (03): : 203 - 236
  • [29] Composition Operators on Hilbert Spaces of Entire Functions of Several Variables
    Minh Luan Doan
    Le Hai Khoi
    Trieu Le
    Integral Equations and Operator Theory, 2017, 88 : 301 - 330
  • [30] Composition Operators on Hilbert Spaces of Entire Functions of Several Variables
    Doan, Minh Luan
    Khoi, Le Hai
    Le, Trieu
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2017, 88 (03) : 301 - 330
12345