Composition operators on Bloch-Orlicz type Spaces of the unit Ball

Abstract:

Using Young’s functions, we define the Bloch-Orlicz space and show that the Bloch-Orlicz space is isometrically equal to a special certain -Bloch space. By the analysis methods and constructing test functions, we investigate the boundedness, compactness and boundedness from below of the composition operator on Bloch-Orlicz type spaces of the unit ball, and obtain the sufficient and necessary conditions of boundedness、compactness and boundedness from below of the composition operator.