Weak type bounds for super singular integral operators with rough kernels and approximation of surface quasi-geostrophic equation with singular velocities

2025年10月17日,周五,13:15-16:15

稿件来源:陈艳萍 教授 发布人:叶海霞

讲座题目:Weak type bounds for super singular integral operators with rough kernels and approximation of surface quasi-geostrophic equation with singular velocities 
讲座时间 Datetime: 2025年10月17日,周五,13:15-16:15
地点 Venue: 腾讯会议:257-935-569 
主持人 Host:黄山林 教授
报告人 Speaker: 陈艳萍 教授
单位 Affiliation: 东北大学 
报告摘要 Abstract:
We study the rough super singular integral operator. In this paper, we study the weak type boundedness and prove that bilinear forms associated to the super singular integtal operators. Based on this, some quantitative weighted strong and weak type bounds are obtained.  As an application, we apply these estimates to SQG-type equations.
报告人简介:
陈艳萍,东北大学教授,入选国家级人才计划,并先后主持了多项国家自然科学基金项目。研究方向为调和分析及其应用。在Anal.&PDE、Trans. Amer. Math. Soc.、J. Funct. Anal.、Rev. Mat. Iberoam.等国内外权威期刊上发表论文100余篇。