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math.FA2022
Poincaré inequalities on Carnot Groups and spectral gap of Schrödinger operators
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this work we give a sufficient condition under which the global Poincaré inequality on Carnot groups holds true for a large family of probability measures absolutely continuous…
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…