The Hardy, Sobolev, Hardy-Sobolev and Hardy-Sobolev-Maz'ya inequalities
报告人：Professor Guozhen Lu (University of Connecticut)
时间：2018-12-14 11:00-12:00
地点：Roopm 1365, Sciences Building No. 1
Abstract: Sharp geometric inequalities play an important role in analysis, PDEs and differential
geometry. In this talk, I will review some classical Hardy, Hardy-Sobolev and Hardy-Sobolev-
Maz'ya inequalities of first order and describe some recent works on the higher order Hardy-
Sobolev-Maz'ya and Hardy-Adams inequalities on hyperbolic balls and half spaces. The
relationship between the classical Sobolev inequalities and the Hardy-Sobolev-Maz'ya inequalities
for higher order derivatives will be discussed. If time allows, we then briefly describe how the techniques of Fourier analysis on hyperbolic spaces and Green's function estimates can be used to establish such inequalities.
