COMPLEX SYMMETRIC C_(0)-SEMIGROUPS ON THE WEIGHTED HARDY SPACES H_(γ)(D)  

作　　者：胡小鹤 Xiaohe HU(College of Mathematics and Information Science,Henan Normal University,Xinciang 453007,China)

机构地区：[1]College of Mathematics and Information Science,Henan Normal University,Xinciang 453007,China

出　　处：《Acta Mathematica Scientia》2023年第5期2121-2132,共12页数学物理学报（B辑英文版）

摘　　要：In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).

关 键 词：C_(0)-semigroup complex symmetry weighted composition operator 

分 类 号：O177[理学—数学] O152.7[理学—基础数学]