题目：Equivalent characterizations between compact commutators and function spaces
摘要：This topic can be traced back to the remarkable work of Uchiyama in 1978. After his work, the methods of this topic, especially for the necessity part, seems to be stereotyped. I will present some new viewpoints of this topic based on the recent works of Lerner-Ombrosi-Rivera-Rios and us. Some new characterizations of compact commutators will be also given.