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math.FA2020★ 20 cited
Higher Order Coercive Inequalities
Yifu Wang, Boguslaw Zegarlinski
We study the higher order q- Poincaré and other coercive inequalities for a class probability measures satisfying Adam's regularity condition.
math.FA2020
-Poincaré inequalities on Carnot Groups with filiform type Lie algebra
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this paper, we prove (global) -Poincaré inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under…