Differences of composition operators from classical Zygmund space to Bloch-type space

作     者：Jinhao LIU Yuxia LIANG Zicong YANG 

作者机构：Department of Mathematics Hebei University of Technology School of Mathematical Sciences Tianjin Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期：2023年

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

摘      要：The aim of this paper is to explore the equivalent characterizations for the boundedness and compactness of Cφ-Cψacting from classical (little) Zygmund space Z(Z0) to (little) Bloch-type space Bα(B0α). Especially, we creatively develop a useful lemma, which not only plays a crucial role in the estimations but also offers a sufficient condition for the bounded below property of composition operators.