汇报标题 (Title)：三维欧氏空间中超曲面上的极大算子
汇报人 (Speaker)：李文娟 教授（西北工业大学）
汇报功夫 (Time)：2024年9月25日（周三）14:00-17:00
汇报地址 (Place)：校本部 GJ304
约请人(Inviter)：赵发友 教授
主办部门：理学院 数学系
汇报提要：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.
