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Publikováno v:
Potential Analysis.
We prove Poincaré and Logβ-Sobolev inequalities for a class of probability measures on step-two Carnot groups.
In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincar\'e and $\beta-$Logarithmic Sobolev inequalities for measures as a function of this fundamental solution
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cddcea730fbb72ae2f85874ef689e2a9