三维欧氏空间中超曲面上的极大算子
2024.09.23
投稿：龚惠英部门：理学院浏览次数：
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报告题目 (Title)：三维欧氏空间中超曲面上的极大算子
报告人 (Speaker)：李文娟 教授（西北工业大学）
报告时间 (Time)：2024年9月25日（周三）14:00-17:00
报告地点 (Place)：校本部 GJ304
邀请人(Inviter)：赵发友 教授
主办部门：理学院 数学系
报告摘要：In this talk, we introduce maximal functions related to hypersurfaces with vanishing Gaussian curvature in $R^3$. Firstly, we characterize the (p,q)-boundedness of local maximal operators along homogeneous hypersurfaces. Moreover, weighted L^p-estimates are obtained for the corresponding global operators. Secondly, for a class of hypersurfaces that lack a homogeneous structure and pass through the origin, we attempt to look for other geometric properties instead of height of hypersurfaces to characterize the optimal L^p-boundedness of the corresponding global maximal operators. This is a joint work with Dr. Huiju Wang.
