In this paper we prove (global) q- Poincare inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under consideration have a density with respect to the Haar measure given as a function of a suitable homogeneous norm.
Chatzakou, M., Federico, S., Zegarlinski, B. (2024). q-Poincare Inequalities on Carnot Groups with Filiform Type Lie Algebra. POTENTIAL ANALYSIS, 60(3), 1067-1092 [10.1007/s11118-023-10079-4].
q-Poincare Inequalities on Carnot Groups with Filiform Type Lie Algebra
Federico, S
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2024
Abstract
In this paper we prove (global) q- Poincare inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under consideration have a density with respect to the Haar measure given as a function of a suitable homogeneous norm.File in questo prodotto:
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