Abstract
In this paper we prove (global) q- Poincaré 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.
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Funding
Open access funding provided by Alma Mater Studiorum - Universitá di Bologna within the CRUI-CARE Agreement. Marianna Chatzakou was supported by the FWO Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations, and by the Methusalem programme of the Ghent University Special Research Fund (BOF) (Grant number 01M01021), and is a postdoctoral fellow of the Research Foundation - Flanders (FWO) under the postdoctoral grant No 12B1223N. Serena Federico has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 838661.
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Chatzakou, M., Federico, S. & Zegarlinski, B. q-Poincaré Inequalities on Carnot Groups with Filiform Type Lie Algebra. Potential Anal 60, 1067–1092 (2024). https://doi.org/10.1007/s11118-023-10079-4
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DOI: https://doi.org/10.1007/s11118-023-10079-4