题目:Sawyer’s weights meet parabolic partial differential equations
时间:2025年5月10日(周六)上午 10:00-11:00
地点:必赢bwin网页版201
报告人:朱晨峰博士
摘要:In 1986, Sawyer introduced the concept of one-sided Muckenhoupt classes to characterize the weighted boundedness of the one-sided maximal operator on the real line. Motivated by the regularity theory of parabolic partial differential equations, Kinnunen and Saari introduced the parabolic Muckenhoupt classes with time lag, which are regarded as higher-dimensional generalizations of Sawyer’s weights. In this talk, we will discuss recent progress on the study of parabolic Muckenhoupt weights with time lag.
报告人简介:
朱晨峰,2024年博士毕业于北京师范大学数学科学学院,现为浙江工业大学数学科学学院博士后,主要从事调和分析特别是函数空间实变理论及其应用的研究,已在欧氏空间与齐型空间上的相关于球Banach函数空间的Sobolev空间,抛物Muckenhoupt权类及其相关函数
空间,和Hardy-Lorentz空间的实变理论及其应用方面取得进展,部分成果发表于Calc. Var. Partial Differential Equations,Commun.Contemp.Math.和J.Geom.Anal.等国际知名数学期刊上。