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Some Recent Advances on Maximal Functions Related to Hyperurfaces in
- 来源：
- 学校官网
- 收录时间：
- 2026-04-05 14:12:40
- 时间：
- 2023-11-13 15:30:00
- 地点：
- 七教7215
- 报告人：
- 李文娟
- 学校：
- 北京交通大学
- 关键词：
- maximal functions, hypersurfaces, transversality condition, L^p-boundedness, harmonic analysis
- 简介：
- Through a series of recent papers, Müller et al. have nearly settled the problem of optimal $L^p$-boundedness for maximal operators associated with smooth hypersurfaces of finite type satisfying the transversality condition (with the exception of a small class). However, for smooth hypersurfaces that fail to satisfy the transversality condition, very few optimal estimates have been established for their associated maximal operators. I will give a talk about our recent advances of optimal boundedness results for maximal operators associated with a class of smooth hypersurfaces that do not satisfy the transversality condition. This is a joint work with Huiju Wang, Stefan Buschenhenke.
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报告介绍：
Through a series of recent papers, Müller et al. have nearly settled the problem of optimal $L^p$-boundedness for maximal operators associated with smooth hypersurfaces of finite type satisfying the transversality condition (with the exception of a small class). However, for smooth hypersurfaces that fail to satisfy the transversality condition, very few optimal estimates have been established for their associated maximal operators. I will give a talk about our recent advances of optimal boundedness results for maximal operators associated with a class of smooth hypersurfaces that do not satisfy the transversality condition. This is a joint work with Huiju Wang, Stefan Buschenhenke.
报告人介绍：
李文娟, 西北工业大学数学与统计学院教授，博导。2015年博士毕业于德国基尔大学，2018年入选陕西省高层次人才青年项目，2019年入选西北工业大学翱翔新星计划项目。目前主持国家自然科学基金面上项目；参与国家重点研发计划青年科学家项目（骨干成员）。主要从事调和分析中算子有界性方面的研究，如与流形相关的极大函数有界估计等。已在JMPA，JFAA，JFA，RMI,MZ 等国际知名期刊上发表论文20余篇。曾应邀访问美国伊利诺伊大学香槟分校、印第安纳大学伯明顿分校、韩国首尔国立大学等。
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