Some properties of composition operators on entire Dirichlet series with real frequencies

被引:5
作者
Hou Xiaolu [1 ]
Khoi, Le Hai [1 ]
机构
[1] Nanyang Technol Univ, Div Math Sci, Sch Phys & Math Sci, Singapore 637371, Singapore
关键词
D O I
10.1016/j.crma.2012.01.023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this Note we consider some problems for composition operators on a class of entire Dirichlet series with real frequencies in the complex plane whose Ritt order is zero and logarithmic orders are finite. Criteria for action and boundedness of such operators are given. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:149 / 152
页数:4
相关论文
共 9 条
[1]  
[Anonymous], 1969, MONOGRAPHIES INT MAT
[2]  
[Anonymous], COMPOSITION OPERATOR
[3]   Composition operators on spaces of entire functions [J].
Chacon, Gerardo A. ;
Chacon, Gerardo R. ;
Gimenez, Jose .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (07) :2205-2218
[4]  
Gordon J, 1999, MICH MATH J, V46, P313
[5]  
Hardy GH., 1964
[6]  
Polya G, 1926, J Lond Math Soc, V1, P12
[7]  
Reddy AR., 1966, TOHOKU MATH J, V16, P144, DOI DOI 10.2748/TMJ/1178243445
[8]   On certain points in the theory of Dirichlet series. [J].
Ritt, JF .
AMERICAN JOURNAL OF MATHEMATICS, 1928, 50 :73-86
[9]  
Shapiro JH., 1993, COMPOSITIONS OPERATO