报告人：秦默言 (北京师范大学)

报告日期：2026.04.16

报告时间：15:30 - 16:30

报告地点：逸夫楼1537

题目：Criteria for weak-type properties of generalized singular integral operators with rough kernels

摘要：We establish a criterion for the limiting weak-type behavior property of generalized singular integral operators with rough kernels. The operators under consideration are of the form  Assume that the kernelbelongs to  and satisfies the standard cancellation condition, while the kernel satisfies suitable size and regularity assumptions. Under these hypotheses, we show that the limiting weak-type behavior offollows from its weak-typeboundedness. As applications of this criterion, we show that the limiting weak-type behavior property holds for several classical operators with rough kernels, including Calder\'on-Zygmund singular integral operator, Calder\'on commutator, higher-order Calder\'on commutator, as well as the corresponding maximal truncated operators.

报告人简介: 秦默言，北京师范大学数学科学公司讲师。2022年毕业于北京师范大学。主要从事调和分析中算子有界性、弱极限行为方面的研究，相关成果发表在Calc. Var. Partial Differential Equations、Proc. Roy. Soc. Edinburgh Sect. A等国际知名期刊上。