18 citations · 44 across the 9 of their papers we have counts for
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Three isometrically equivalent models of the Finsler-Poincaré disk
Ágnes Mester, Alexandru Kristály
We present the isometry between the 2-dimensional Funk model and the Finsler-Poincaré disk. Then, we introduce the Finslerian Poincaré upper half plane model, which turns out to be…
A bipolar Hardy inequality on Finsler manifolds
Ágnes Mester, Alexandru Kristály
We establish a bipolar Hardy inequality on complete, not necessarily reversible Finsler manifolds. We show that our result strongly depends on the geometry of the Finsler structure…
What do `convexities' imply on Hadamard manifolds?
Alexandru Kristály, Chong Li, Genaro Lopez +1
Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and convex hulls) have been recently established on Hadamard ma…
Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications
Alexandru Kristály, Shin-ichi Ohta
We prove that if a metric measure space satisfies the volume doubling condition and the Caffarelli-Kohn-Nirenberg inequality with the same exponent , then it has exactly t…