On the Compactness of Grunsky Differential Operators  

作　　者：Li WU Yuliang SHEN 

机构地区：[1]Department of Mathematics,Soochow University,Suzhou 215006,Jiangsu,China.

出　　处：《Chinese Annals of Mathematics,Series B》2020年第4期559-572,共14页数学年刊（B辑英文版）

基　　金：the National Natural Science Foundation of China(No.11631010)。

摘　　要：Grunsky operators play an important role in classical geometric function theory and in the study of Teichmüller spaces.The Grunsky map is known to be holomorphic on the universal Teichmüller space.In this paper the authors deal with the compactness of a Grunsky differential operator.They will give upper and lower estimates of the essential norm of a Grunsky differential operator and discuss when a Grunsky differential operator is a p-Schatten class operator.

关 键 词：Universal Teichmüller space Beltrami coefficient Grunsky operator Compact operator p-Schatten class operator Essential norm 

分 类 号：O177[理学—数学]