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
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