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.
q-Poincare Inequalities on Carnot Groups with Filiform Type Lie Algebra / Chatzakou, M; Federico, S; Zegarlinski, B. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - ELETTRONICO. - 60:(2024), pp. 1067-1092. [10.1007/s11118-023-10079-4]
q-Poincare Inequalities on Carnot Groups with Filiform Type Lie Algebra
Federico, S
;
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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