标题：A new class of Volterra-type operators and fractional calculus
报告时间：2024年11月4日（星期一）14：00-15：00
报告地点：线上腾讯会议（会议ID：585-797-610，会议密码：241104）
主讲人：方向
主办单位：数学与统计学院
报告内容简介：
Volterra integration operators form one of the most actively studied classes of operators in current research. In this talk, we seek to generalize them by using “bona fide” fractional calculus. The strategy is first to introduce a class analytic paraproducts on the space of analytic functions in the unit disk. The main advantage in introducing this family of paraproducts comes from the fact that it combines the advantages of the Riemann-Liouville approach and the “coefficient multiplier” approach. Namely, one circumvents the use of multivalued functions but still retains a Leibniz formula and an integral representation formula. Many open problems will be introduced for this new class of operators.
主讲人简介：
方向，台湾阳明交通大学教授，2002年博士毕业于美国德州农工大学，主要研究兴趣包括函数空间、泛函分析、概率论等。已在Geom. Funct. Anal., J. Reine Angew. Math., Adv. Math., J. Funct. Anal., IMRN, Trans. Amer. Math. Soc., Math. Res. Lett.等顶级数学期刊发表二十余篇高水平论文。
