Boundedness And Compactness Of Differences Of Composition Operators On ?-Bloch-Orlicz Space On The Unit Disk

In this paper,we characterize the boundedness and compactness of differences of composition operators on ?-Bloch-Orlicz spaces on the unit disk,as well as the product of integral type and composition operatorsWe divide this article into five chaptersIn the first chapter,we briefly introduce the research background,current situation of the differences of composition operators and give the main conclusion of this article.In the second chapter,we give some basic knowledge about composition operators,integral type operators,differences and ?-Bloch-Orlicz spaceIn the third chapter,we introduce the boundedness and compactness of dif-ferences of composition operators on ?-Bloch-Orlicz spaceIn the fourth chapter,we introduce the boundedness and compactness of differences of the product of integral type and composition operators on ?-Bloch-Orlicz space.The last chapter,we put forward several questions that have not been solvedThere are two innovations in this paper:firstly,the analytic function space studied is new,which is a generalization of the classical function space.Secondly,the test functions constructed are new.By ingeniously constructing,the calcula-tion is simpler and the characterization of the boundedness and compactness of differences is easier.