报告题目：From complex models to dyadic methods: a real-variable approach to hypersingular operators

报告人：胡冰洋 助理教授 （美国奥本大学）

报告时间：2026年02月04日（星期三）上午：9：00-10：00

报告地点：腾讯会议870-584-845 会议密码：260204

校内联系人：程国正 教授   联系电话：84708351-8617

报告摘要：This talk consists of two parts. In the first part, we discuss the L^p theory for hypersingular maximal operators and the hypersingular Bergman projection, with an emphasis on estimates along the critical line where strong-type bounds typically fail. In the second part, motivated by the phenomena and methods from Part I, we develop a more general framework that applies to a broader class of hypersingular sparse operators. The key new ingredient is the Forelli-Rudin method, which provides a flexible mechanism for establishing weak-type estimates on the critical line. This talk is based on recent joint work with Xiaojing Zhou.

报告人简介：胡冰洋，美国奥本大学助理教授，2020年博士毕业于美国威斯康辛大学麦迪逊分校。主要研究方向为调和分析及其应用。已在Math.Ann, JFA, JMPA, IMRN, Math.Z, JFAA, JDE, CPDE等期刊发表论文40余篇。