Complex Symmetric C0-semigroups on A^2(C+)  

作　　者：Kai Kai HAN Mao Fa WANG 

机构地区：[1]School of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,P.R.China [2]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2020年第10期1171-1182,共12页数学学报（英文版）

基　　金：NSFC (Grant No. 11771340)。

摘　　要：In this paper,we study complex symmetric C0-semigroups on the Bergman space A^2(C+) of the right half-plane C+.In contrast to the classical case,we prove that the only involutive composition operator on A^2(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 A^2(C+).

关 键 词：C0-SEMIGROUP Bergman space composition operator complex symmetry 

分 类 号：O152.7[理学—数学]