Higher Order Coercive Inequalities
Yifu Wang, Boguslaw Zegarlinski
TL;DR
This paper investigates advanced coercive inequalities, such as higher order q-Poincaré inequalities, for specific probability measures that meet Adam's regularity condition, expanding the understanding of functional inequalities.
Contribution
It introduces new higher order coercive inequalities for probability measures satisfying Adam's regularity condition, broadening the scope of functional inequality theory.
Findings
Established higher order q-Poincaré inequalities.
Extended coercive inequalities to a new class of probability measures.
Provided conditions under which these inequalities hold.
Abstract
We study the higher order q- Poincar\'e and other coercive inequalities for a class probability measures satisfying Adam's regularity condition.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Inequalities and Applications · Geometric Analysis and Curvature Flows