Z. Balogh

activity

20092025

most citedFrequency of Sobolev dimension distortion of horizontal subgroups of Heisenberg groups

10 citations · 61 across the 23 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

3 papers · 2 filters

math.AP2022★ 7 cited

Sharp log-Sobolev inequalities in $CD (0, N)$ spaces with applications

Zoltán M. Balogh, Alexandru Kristály, Francesca Tripaldi

Given $p, N > 1,$ we prove the sharp $L^{p}$ -log-Sobolev inequality on noncompact metric measure spaces satisfying the $CD (0, N)$ condition, where the optimal constant involves the…

math.AP2022★ 2 cited

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 $R^{n}$ . If the weights are equal to each oth…

math.AP2022

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 $L^{p}$ -log-Sobolev inequality $(p \geq 1)$ involving a log-concave homogeneous weight on an open convex…

Sharp log-Sobolev inequalities in CD(0,N) spaces with applications

Weighted Gagliardo-Nirenberg inequalities via Optimal Transport Theory and Applications

Sharp weighted log-Sobolev inequalities: characterization of equality cases and applications

Sharp log-Sobolev inequalities in $CD (0, N)$ spaces with applications