10 citations · 61 across the 23 of their papers we have counts for
8 papers · 1 filter
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…
Weighted Gagliardo-Nirenberg inequalities via Optimal Transport Theory and Applications
Zoltán M. Balogh, Sebastiano Don, Alexandru Kristály
We prove Gagliardo-Nirenberg inequalities with three weights -- verifying a joint concavity condition -- on open convex cones of . If the weights are equal to each oth…
Sharp weighted log-Sobolev inequalities: characterization of equality cases and applications
Zoltán M. Balogh, Sebastiano Don, Alexandru Kristály
By using optimal mass transport theory, we provide a direct proof to the sharp -log-Sobolev inequality involving a log-concave homogeneous weight on an open convex…
Sobolev inequalities with jointly concave weights on convex cones
Zoltán M. Balogh, Cristian E. Gutiérrez, Alexandru Kristály
Using optimal mass transport arguments, we prove weighted Sobolev inequalities of the form \[\left(\int_E |u(x)|^q\,ω(x) \,dx\right)^{1/q}\leq K_0\,\left(\int_E |\nabla u(x)|^p\,σ(…
Equality in Borell-Brascamp-Lieb inequalities on curved spaces
Zoltán M. Balogh, Alexandru Kristály
By using optimal mass transportation and a quantitative Hölder inequality, we provide estimates for the Borell-Brascamp-Lieb deficit on complete Riemannian manifolds. Accordingly,…
Jacobian determinant inequality on corank 1 Carnot groups with applications
Zoltán M. Balogh, Alexandru Kristály, Kinga Sipos
We establish a weighted pointwise Jacobian determinant inequality on corank 1 Carnot groups related to optimal mass transportation akin to the work of Cordero-Erausquin, McCann and…