標(biāo)題：A new class of Volterra-type operators and fractional calculus
報(bào)告時(shí)間：2024年11月4日（星期一）14：00-15：00
報(bào)告地點(diǎn)：線(xiàn)上騰訊會(huì)議（會(huì)議ID：585-797-610，會(huì)議密碼：241104）
主講人：方向
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)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.
主講人簡(jiǎn)介：
方向，臺(tái)灣陽(yáng)明交通大學(xué)教授，2002年博士畢業(yè)于美國(guó)德州農(nóng)工大學(xué)，主要研究興趣包括函數(shù)空間、泛函分析、概率論等。已在Geom. Funct. Anal., J. Reine Angew. Math., Adv. Math., J. Funct. Anal., IMRN, Trans. Amer. Math. Soc., Math. Res. Lett.等頂級(jí)數(shù)學(xué)期刊發(fā)表二十余篇高水平論文。
