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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…
math.DG2022★ 3 cited
Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry
Annalisa Baldi, Maria Carla Tesi, Francesca Tripaldi
In this paper we establish a Gaffney type inequality, in -Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded ge…