1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DG2025
Analysis on asymmetric metric measure spaces: -heat flow, -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 -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 -curvature…
math.AP2024★ 1 cited
Sharp Hardy inequalities involving distance functions from submanifolds of Riemannian manifolds
Ningwei Cui, Alexandru Kristály, Wei Zhao
We establish various Hardy inequalities involving the distance function from submanifolds of Riemannian manifolds, where the natural weights are expressed in terms of bounds of the…