Complex Symmetric C0-semigroups on A2(ℂ+)

被引：0
作者：
Kai Kai Han
Mao Fa Wang
机构：
[1] Hebei University of Economics and Business,School of Mathematics and Statistics
[2] Wuhan University,School of Mathematics and Statistics
来源：
Acta Mathematica Sinica, English Series | 2020年 / 36卷
关键词：
-semigroup; Bergman space; composition operator; complex symmetry; 47B33; 32A36;
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摘要：
In this paper, we study complex symmetric C0-semigroups on the Bergman space A2(ℂ+) of the right half-plane ℂ+. In contrast to the classical case, we prove that the only involutive composition operator on A2(ℂ+) is the identity operator, and the class of J-symmetric composition operators does not coincide with the class of normal composition operators. In addition, we divide semigroups {ϕt} of linear fractional self-maps of ℂ+ into two classes. We show that the associated composition operator semigroup {Tt} is strongly continuous and identify its infinitesimal generator. As an application, we characterize Jσ-symmetric C0-semigroups of composition operators on A2(ℂ+).
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页码：1171 / 1182
页数：11
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