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Nuclear weighted composition operators on weighted Banach spaces of analytic functions
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-09-18 , DOI: 10.1090/proc/15223 José Bonet , M. Gómez-Collado , Enrique Jordá , David Jornet
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-09-18 , DOI: 10.1090/proc/15223 José Bonet , M. Gómez-Collado , Enrique Jordá , David Jornet
Abstract:We characterize nuclear weighted composition operators 
on weighted Banach spaces of analytic functions with sup-norms. Consequences about nuclear composition operators on Bloch type spaces are presented. They extend previous work by Fares and Lefèvre on nuclear composition operators on Bloch spaces. Examples of nuclear as well as compact and non-nuclear weighted composition operators are given.
中文翻译：
解析函数加权Banach空间上的核加权合成算子
摘要：我们在具有超范数的解析函数的加权Banach空间上刻画核加权成分算子。提出了有关Bloch型空间上核成分算子的后果。它们扩展了Fares和Lefèvre先前在Bloch空间的核合成算子上的工作。给出了核以及紧凑和非核加权成分算子的示例。
更新日期：2020-11-12
on weighted Banach spaces of analytic functions with sup-norms. Consequences about nuclear composition operators on Bloch type spaces are presented. They extend previous work by Fares and Lefèvre on nuclear composition operators on Bloch spaces. Examples of nuclear as well as compact and non-nuclear weighted composition operators are given. 中文翻译：
解析函数加权Banach空间上的核加权合成算子
摘要：我们在具有超范数的解析函数的加权Banach空间上刻画核加权成分算子。提出了有关Bloch型空间上核成分算子的后果。它们扩展了Fares和Lefèvre先前在Bloch空间的核合成算子上的工作。给出了核以及紧凑和非核加权成分算子的示例。
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