Alexandru Kristály

activity

20222026

most citedSharp log-Sobolev inequalities in

CD (0, N)

spaces with applications

7 citations · 8 across the 10 of their papers we have counts for

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math.DG2025

Analysis on asymmetric metric measure spaces: $q$ -heat flow, $q$ -Laplacian and Sobolev spaces

Alexandru Kristály, Shin-ichi Ohta, Wei Zhao

We investigate geometric analysis on metric measure spaces equipped with asymmetric distance functions. Extending concepts from the symmetric case, we introduce upper gradients and…

math.DG2024

Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity

Zoltán M. Balogh, Alexandru Kristály

The paper is devoted to provide Michael-Simon-type $L^{p}$ -logarithmic-Sobolev inequalities on complete, not necessarily compact $n$ -dimensional submanifolds $Σ$ of the Euclidean spa…

math.DG2024

Failure of famous functional inequalities on Finsler manifolds: the influence of $S$ -curvature

Alexandru Kristály, Benling Li, Wei Zhao

The validity of functional inequalities on Finsler metric measure manifolds is based on three non-Riemannian quantities, namely, the reversibility, flag curvature and $S$ -curvature…

Analysis on asymmetric metric measure spaces: q-heat flow, q-Laplacian and Sobolev spaces

Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity

Failure of famous functional inequalities on Finsler manifolds: the influence of S-curvature

Analysis on asymmetric metric measure spaces: $q$ -heat flow, $q$ -Laplacian and Sobolev spaces

Failure of famous functional inequalities on Finsler manifolds: the influence of $S$ -curvature