報告題目：Analytic automorphisms, composition operators and the representation of analytic functions
報告人：侯秉喆教授
報告時間：2023.12.7 16：30-17：30
報告地點：數學與統計學院 104報告廳
報告人簡介：侯秉喆，于2008年獲得吉林大學理學博士學位，現為吉林大學數學學院教授，主要從事基礎數學的教學與研究，主要研究方向為算子理論與算子代數，拓撲與拓撲動力系統等，在Sci
China Math., Journal of Operator Theory, Proc. Amer. Math. Soc., Topol.
App. 等學術期刊發表論文三十余篇。
報告內容簡介：In
this talk, we focus on the weighted Hardy spaces of polynomial growth,
which cover the classical Hardy space, weighted Bergman spaces, weighted
Dirichlet spaces and much broader. We discuss the boundedness of the
composition operators with symbols of analytic automorphisms of unit
open disk (finite Blaschke product and analytic functions on the unit
closed disk) acting on weighted Hardy spaces of polynomial growth.
Furthermore, we could compute the K_0-groups of the commutant algebras
of those multiplication operators. Then, the Jordan decomposition
theorem and similar classification for the representation of analytic
functions on the unit closed disk as multiplication operators are
obtained. Moreover, we also study the norms, spectra and
(semi-)Fredholmness of composition operators induced by disc
automorphisms. This is a joint work with Prof. Chunlan Jiang.
