题    目：Parabolic Muckenhoupt Weights and Function Spaces Tailored to Doubly Nonlinear Parabolic PDEs

主讲人：朱晨峰

单    位：浙江工业大学

时    间：2024年10月21日 10:00

地    点：数学与统计学院107教室

摘    要：In this talk, we will give an introduction on the history and the recent progress of parabolic Muckenhoupt classes and parabolic function spaces. We first recall the concept of the parabolic Muckenhoupt class, which is motivated by the regularity theory of the solutions of doubly nonlinear parabolic PDEs. Then we present its various properties, including their generalizations to spaces of homogeneous type. On the other hand, we recall parabolic BMO and parabolic John-Nirenberg spaces and related results. Then we present our recent works on parabolic Campanato spaces. Several operators of parabolic version are also introduced in this talk.

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.