分析和PDE讨论班—Sharp high order Hardy-Sobolev-Mazya inequalities on hyperbolic spaces
主 题: 分析和PDE讨论班—Sharp high order Hardy-Sobolev-Mazya inequalities on hyperbolic spaces
报告人: Professor Guozhen Lu (University of Connecticut)
时 间: 2017-07-20 16:00-17:00
地 点: 理科1号楼1493室
Abstract: In this talk, we willreoort some recent progress on sharp geometric inequalities on hyperbolicspaces, in particular, the sharp Hardy-Sobolev-Maz'ya inequalities onhyperbolic spaces and half spaces. The main tools we use are the Fourieranalysis on hyperbolic spaces, sharp Sobolev inequalities for Paneitzoperators and estimates of Green's functions for fractionalLaplacains on hyperbolic spaces.