| 摘要: |
| 本文研究了从α-Zygmund 空间到Bloch-Orlicz 空间和Zygmund-Orlicz 空间的广义复合算子. 利用符号函数ø, 解析映射g和凸函数Ψ的函数论性质, 获得了广义复合算子的有界性和紧性的充要条件, 推广了Zygmund 空间的相关结果. |
| 关键词: α-Zygmund空间 Bloch-Orlicz空间 Zygmund-Orlicz空间 有界性 紧性 |
| DOI： |
| 分类号:O177.2 |
| 基金项目:国家自然科学基金(11201127;11271112);河南省高校科技创新团队支持计划资助(14IRT-STHN023). |
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| GENERALIZED COMPOSITION OPERATORS FROM α-ZYGMUND SPACES TO BLOCH-ORLICZ SPACES AND ZYGMUND-ORLICZ SPACES |
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LI Hai-ying, GUO Zhi-tao
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College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
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| Abstract: |
| In this paper, generalized composition operators from α-Zygmund spaces to Bloch-Orlicz spaces and Zygmund-Orlicz spaces are investigated. Using the function theory properties of the symbol function ø, the analytic function g and the convex function Ψ, the necessary and sufficient conditions of the boundedness and compactness of generalized composition operators are obtained. Some corresponding results about Zygmund spaces are extended. |
| Key words: α-Zygmund spaces Bloch-Orlicz spaces Zygmund-Orlicz spaces boundedness compactness |
