Wei Zhao

most citedSharp Hardy inequalities involving distance functions from submanifolds of Riemannian manifolds

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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

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

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