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Sawyer's conjecture: history and beyond.
发布时间: 2017-06-19     13:32   【返回上一页】 发布人:李康伟


 北京师范大学数学科学学院

 

周五公众报告

 

 

 

 

报告题目:Sawyer's conjecture: history and beyond.

 

 

报告人: 李康伟 博士(Basque Center for Applied

Mathematics
 Spain

 

时间地点:2017623日下午4:00-5:00, 后主楼1220

 

 

邀请人:薛庆营 教授

 

报告摘要:Sawyer's conjecture, which was proposed by Sawyer in 1985 and completely solved by Cruz-Uribe, Martell and Pérez in 2005, is about the mixed weak type estimates for maximal functions as well as singular integral operators and it has a lot of applications. In the same paper, Cruz-Uribe, Martell and Pérez also proposed a new conjecture, which can be viewed as the most singular case of Sawyer's problem. In this talk, I will give a positive answer to this new conjecture. And I will also give some quantitative bounds which improve the known estimates. This talk is based on a recent joint work with Sheldy Ombrosi and Carlos Pérez.

 

 

周五学院公众报告主旨:讲解现代数学中的基本概念、重要结果及其数学思想的起源、方法的创新等,扩展我们的教师和研究生的视野、提高数学修养以及增强学院的学术氛围。邀请各方向的专家用通俗易懂的报告内容、自由互动的讲解方式展现现代数学中重要的基本概念和深刻原理,让听众可以领略到现代数学理论其实是来源于一些大学或研究生阶段就熟知的古典数学中的想法和结论。希望这些报告有助于高年级的本科生、研究生和教师更全面的认识现代数学、享受数学之美。欢迎大家踊跃参与!