New spaces of Dirichlet series and their composition operators

被引：3
|
作者：
Bayart, F [1 ]
机构：
[1] Univ Sci & Technol Lille Flandres Artois, UFR Math Pures & Appl, F-59655 Villeneuve Dascq, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 333卷 / 03期
关键词：
D O I：
10.1016/S0764-4442(01)02047-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using Bohr's vision, we introduce some new spaces of Dirichlet series, which are analogous of Hardy spaces for Fourier series. We study this spaces, and particularly the hypercontractivity of a semi-group analogous to the Poisson semi-group. We also study the composition operators on this spaces, and compare some properties of such an operator to properties of its symbol. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：207 / 212
页数：6
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