Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
陆国震 教授, 美国康涅狄格大学
Inviter:
胡星标
Title:
Sharp geometric inequalities on hyperbolic spaces
Time & Venue:
2017.8.3 15:30-16:30 N226
Abstract:
In this talk, wewill reoort some recent progress on sharp geometric inequalities on hyperbolic spaces, in particular, the sharp Hardy-Sobolev-Maz'ya inequalities on hyperbolic spaces and half spaces. The main tools we use are the Fourier analysison hyperbolic spaces, sharp Sobolev inequalities for Paneitz operatorsand estimates of Green's functions for fractional Laplacain on hyperbolic spaces.