从Zygmund型空间到Bloch型空间的复合算子的差分  

Differences of composition operators from Zygmund-type spaces to Bloch-type spaces

作　　者：刘金昊 梁玉霞 周航 LIU Jinhao;LIANG Yuxia;ZHOU Hang(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China;Department of Information Technology and Engineering,Guangzhou College of Commerce,Guangzhou 511363,China)

机构地区：[1]天津师范大学数学科学学院,天津300387 [2]广州商学院信息技术与工程学院,广州511363

出　　处：《天津师范大学学报（自然科学版）》2024年第3期1-6,44,共7页Journal of Tianjin Normal University：Natural Science Edition

基　　金：广东省普通高校青年创新人才类项目(2022KQNCX121)。

摘　　要：给出复合算子的差分C_(φ)-C_(ψ):Z_(α)→B^(β)(α>1,β>0)的有界性与紧性的一些等价条件.此外,作为非平凡的拓展,利用Taylor级数和Raabe判别法构建了有界或紧的复合算子的差分C_(φ)-C_(ψ):Z_(α),0→B^_(0)(β)的等价刻画.Several equivalent conditions for the boundedness and compactness of the difference C_(φ)-C_(ψ):Z_(α)→B^(β)(α>1,β>0) were presented forα>1,β>0.As a nontrivial extension,Taylor series and Raabe discriminant are used to establish the complete characteri-zations for bounded or compact C_(φ)-C_(ψ):Z_(α),0→B^_(0)(β).

关 键 词：差分 复合算子 ZYGMUND型空间 BLOCH型空间 

分 类 号：O177.2[理学—数学]