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math.AP2024★ 2 cited
Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates
Annalisa Baldi, Francesca Tripaldi
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered by Rumin, who introduced a 0-order pseudodi…
math.AP2022★ 7 cited
Sharp log-Sobolev inequalities in spaces with applications
Zoltán M. Balogh, Alexandru Kristály, Francesca Tripaldi
Given we prove the sharp -log-Sobolev inequality on noncompact metric measure spaces satisfying the condition, where the optimal constant involves the…