Composition Operators on the Bergman Space via Quasi-conformal Mappings
报告题目:Composition Operators on the Bergman Space via Quasi-conformal Mappings
报告时间:2015年11月6日(周五)10:30-11:30
报告人:方向教授 台湾国立中央大学
报告地点:数学楼二楼学术报告厅
报告摘要:
The composition operators have concentrated only on analytic
symbols so far, and it has perhaps been a long sought-after goal to develop a theory with non-analytic
symbols. A main difficulty is to identify the proper class of self-maps to work with, since
there exists probably no universal theory to cover all self-maps. In this talk we show that a
feasible approach is via quasi-conformal mapping, which is by itself a beautiful area in
analysis, and is not connected with operator theory previously.