Optimal distribution estimates for commutators and Marcinkiewicz multiliers

：杨福林（北京雁栖湖应用数学研究院）
：2025-10-17 16:00
：海韵园实验楼S107

报告人：杨福林（北京雁栖湖应用数学研究院）

时  间：2025年10月17日16:00

地  点：海韵园实验楼S107

内容摘要:

The main objective of this talk is to discuss the distributional estimates for (i) commutators with Calderon-Zygmund singular integral operators; (ii) Marcinkiewicz multipliers; (iii) Littlewood-Paley square function, via semigroup generated by α-Cesaro operator. In each of the cases (i)-(iii) we obtain new estimates of the distribution of elements in the range of the underlying operators in terms of the distribution function of the input function.

Our method allows us to obtain optimal estimates shedding additional light at the results due to Perez (1995), Tao and Wright/Bakas et al.(2001/2024), Bourgain (1989) The main feature of the distributional form inequalities lies in its broad applicability across diverse problems in analysis, e.g. they allow obtaining estimates in wide range of symmetric quasi-Banach interpolation spaces between Lp and Lq (1<p<q<∞), not just for Lp-spaces (1<p<∞). This is a joint work with Fedor Sukochev, Dmitriy Zanin and Dejian Zhou. 

个人简介：

杨福林，2020年硕士毕业于厦门大学，2025年博士毕业于哈尔滨工业大学。研究内容主要涉及非交换分析、调和分析和泛函分析。目前已在Math. Ann., J. Math. Pures Appl., Proc. Amer. Math Soc. 等国际著名数学期刊上发表和接受发表3篇论文。

 

联系人：伍火熊