报告人：翟羽佳（哈尔滨工业大学数学研究院）

时 间：2023年6月27日15:00

地 点：腾讯会议ID：109-781-878（无密码）

内容摘要:

We will introduce a class of multilinear inequalities, in particular Leibniz rules, that can be perceived as a generalization of the classical Leibniz rule or product rule. Some cases have been studied by Kato-Ponce, Bourgain-Li, Oh-Wu and Muscalu et al. We will resolve this problem and prove the generic Leibniz rules and Leibniz-type estimates.

We will also discuss their connections with the multilinear singular integral operators. If time permits, we will provide the main idea of the proof, which combines tools from multilinear harmonic analysis and the commutator estimates originally introduced by Bourgain-Li. This is joint with C. Benea.

个人简介：

翟羽佳，哈尔滨工业大学数学研究院教授，2019年博士毕业于美国康奈尔大学，2019-2022年在法国国家科学研究中心从事博士后研究，之后在美国克莱姆森大学工作一段时间。翟⽻佳教授主要从事多线性调和分析，调和分析在偏微分方程、数论与组合数学中的应用等研究领域，相关研究成果发表于Anal. PDE, J. Funct. Anal, J. Fourier Anal. Appl, Combinatorica等国内外重要学术期刊上。

联系人：杨东勇