Session S38 - Geometric Potential Analysis
No date set.
Higher Order Coercive Inequalities
Yifu Wang
Imperial College London, United Kingdom - This email address is being protected from spambots. You need JavaScript enabled to view it.
We study the higher order $q$- Poincare and other coercive inequalities for a class probability measures satisfying Adam's regularity condition. Firstly we will introduce an improved version of Adam's inequalities, then obtain the Poincare inequalities in the measures we are discussing. Higher-order Orlicz-Sobolev inequalities and an equivalence of two types of weighted Sobolev norms will then be established. Finally we will also draw a few conclusions about Higher Order Decay to Equilibrium.
Joint work with Boguslaw Zegarlinski, Imperial College.