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math.FA2024
Higher order coercive inequalities on nilpotent Lie groups
Esther Bou Dagher, Yifu Wang, Boguslaw Zegarlinski
In this work, we study regularity problems of certain Markov generators, which naturally appear in the context of analysis in functional spaces associated to probability measures o…
math.FA2022★ 1 cited
Spectral Gap Inequalities on Nilpotent Lie Groups in Infinite Dimensions
Esther Bou Dagher, Yaozhong Qiu, Boguslaw Zegarlinski +1
We develop a general framework for spectral gap inequalities for Gibbs measures on infinite dimensional spin spaces over nilpotent Lie groups in terms of weak U-bounds and weak sin…
math.FA2021
Coercive Inequalities and U-Bounds
Esther Bou Dagher, Boguslaw Zegarlinski
We prove Poincaré and Log-Sobolev inequalities for probability measures on step-two Carnot groups.