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Session S38 - Geometric Potential Analysis

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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.

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