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# 学术活动

M\"obius invariant type function spaces

In 1996,  Professor Ruhan Zhao introduced a new notion of weighted actions by the  M\"obius group on analytic functions on the unit disk indexed by a  positive parameter $\alpha$ and proved that the $\alpha$-Bloch space is  maximal among all $\alpha$-M\"obius invariant function spaces. In this talk,  we identify the minimal non-trivial $\alpha$-M\"obius invariant function  space and consider the existence and uniqueness of a non-trivial  $\alpha$-M\"obius invariant quasi-Hilbert space of analytic functions on  the unit disk, which answer two questions raised by Professor Ruhan Zhao. The  talk is based on a joint work with Professor Kehe Zhu.

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