Weighted Composition Operators from Bergman-Type Spaces into Bloch Spaces

Proceedings Mathematical Sciences

Songxiao Li¹  Stevo Stević² 

[1] Department of Mathematics, Shantou University, 0 Shantou, Guangdong, China$$;Department of Mathematics, Jia Ying University, 0 Meizhou, Guangdong, China$$

关键词: Weighted composition operator;    Bergman-type space;    Bloch space.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let 𝜑 be an analytic self-map and 𝑢 be a fixed analytic function on the open unit disk 𝐷 in the complex plane $mathbb{C}$. The weighted composition operator is defined by$$u C_varphi f=ucdot p (fcircvarphi), fin H(D).$$Weighted composition operators from Bergman-type spaces into Bloch spaces and little Bloch spaces are characterized by function theoretic properties of their inducing maps.

【 授权许可】

Unknown