»ã±¨±êÌâ (Title)£ºÈýάŷÊÏ¿Õ¼äÖг¬ÇúÃæÉϵļ«´óËã×Ó

»ã±¨ÈË (Speaker)£ºÀîÎÄ¾ê ½ÌÊÚ£¨Î÷±±¹¤Òµ´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê9ÔÂ25ÈÕ£¨ÖÜÈý£©14:00-17:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿ GJ304

Ô¼ÇëÈË(Inviter)£ºÕÔ·¢ÓÑ ½ÌÊÚ

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»ã±¨ÌáÒª£ºIn 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.