报告主题:双参数 BMO 空间及其应用
报 告 人:翟羽佳 博士后(法国国家科学研究中⼼/南特⼤学让勒雷数学研究院)
报告时间:2021年7月6日(周二) 15:00-17:00
会议地点:校本部G507
邀 请 人:赵发友
主办部门:理学院数学系
报告摘要:We will introduce the properties of functions in the biparameter BMO space and focus on their behavior under the action of a rotation. We will show that this BMO space is not preserved by a rotation. By imposing additional regularity, we will prove interpolation inequalities which imply
a boundedness property of directional Hilbert transforms. We will also discuss briefly the possible applications of the result to the study of the 2D Euler equation.