陈志, 江治杰. 单位球上小Bloch-Orlicz空间上复合算子的性质[J]. 内江师范学院学报, 2018, (12): 60-63. DOI:10.13603/j.cnki.51-1621/z.2018.12.011
引用本文: 陈志, 江治杰. 单位球上小Bloch-Orlicz空间上复合算子的性质[J]. 内江师范学院学报, 2018, (12): 60-63.DOI:10.13603/j.cnki.51-1621/z.2018.12.011
CHEN Zhi, JIANG Zhijie. Properties of Composition Operators on the Little Bloch-Orlicz Spaces of the Unit Ball[J]. Journal of Neijiang Normal University, 2018, (12): 60-63. DOI:10.13603/j.cnki.51-1621/z.2018.12.011
Citation: CHEN Zhi, JIANG Zhijie. Properties of Composition Operators on the Little Bloch-Orlicz Spaces of the Unit Ball[J].Journal of Neijiang Normal University, 2018, (12): 60-63.DOI:10.13603/j.cnki.51-1621/z.2018.12.011

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

  • 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.

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