拟共形映射下不同指数Hardy空间的复合算子  

Composition operators of different Hardy spaces under quasiregular mappings

作　　者：许姗姗 唐树安 XU Shanshan;TANG Shu′an(School of Mathematical Sciences,Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2022年第5期87-90,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：贵州省科技厅基金(黔科合基础-ZK「2021」一般001)。

摘　　要：利用拟共形映射的性质,在诱导拟共形映射的逆映射连续可导的前提下,给出了不同指数Hardy空间之间的复合算子有界的充要条件。By using some properties of quasiconformal mapping,we obtain some sufficient and necessary conditions for the boundedness of composition operators between different Hardy spaces if the inverse of the induced quasiconformal is continuously differentiable.

关 键 词：复合算子 HARDY空间 拟共形映射 

分 类 号：O174[理学—数学]