单位球上小Bloch-Orlicz空间上复合算子的性质
Properties of Composition Operators on the Little Bloch-Orlicz Spaces of the Unit Ball
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摘要:利用Youngs函数定义了单位球上的小Bloch-Orlicz空间, 通过在小Bloch-Orlicz空间中构造函数和函数列, 利用符号函数在单位球上的边界性质刻画小Bloch-Orlicz空间上复合算子的有界性, 紧致性以及下有界性.Abstract:By use of the Youngs function, the little Bloch-Orlicz spaces on the unit ball is defined, and by constructing some functions and function sequences on the little Bloch-Orlicz space, the boundedness, compactness and bounded below property of the composition operators on the little Bloch-Orlicz space are characterized using the boundary properties of symbolic functions on the unit ball.