Semigroups of Weighted Composition Operators on Hardy Spaces of Dirichlet Series

被引：0
作者：
Huang, Chengshi [1 ]
Wang, Maofa [1 ]
Yao, Xingxing [2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Wuhan Inst Technol, Sch Math & Phys, Wuhan 430205, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2025年 / 19卷 / 02期
基金：
中国国家自然科学基金;
关键词：
C-0-semigroup; Weighted composition operator; Hardy space; Dirichlet series; HILBERT-SPACE; BERGMAN SPACES;
D O I：
10.1007/s11785-025-01657-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The C-0-semigroups for the weighted composition operators on the Hardy spaces of Dirichlet series are completely characterized in this paper. This generalizes previous results in a recent paper of Contreras et al. regarding C-0-semigroup of (unweighted)composition operators. As applications, we calculate the infinitesimal generator of the C-0-semigroups and its point spectrum.
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页数：16
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