Khanh Nguyen

collaborators

3 papers

math.FA2026

Exceptional Sets for Quasiconformal Mappings in General Metric Spaces II

Behnam Esmayli, Pekka Koskela, Khanh Nguyen

A homemorphism between domains in $R^{n}$ , $n \geq 2$ is quasiconformal, with its intricate analytic and geometric consequences, if the (pointwise) linear dilatation -- a purel…

math.AP2026

Weak Harnack inequality and Cartan property for nonlocal $W^{s, 1}$ -minimizers

Panu Lahti, Yuxin Li, Khanh Nguyen

We establish a weak Harnack inequality for nonlocal $W^{s, 1}$ -subminimizers in a complete, connected, doubling metric measure space where $0 < s < 1$ . As a corollary, we prove that $W^…

math.FA2025

Lusin approximation for functions of bounded variation

Panu Lahti, Khanh Nguyen

We prove a Lusin approximation of functions of bounded variation. If $f$ is a function of bounded variation on an open set $I^c ◯ \subset X$ , where $X = (X, d, I^¼)$ is a given complete dou…

Exceptional Sets for Quasiconformal Mappings in General Metric Spaces II

Weak Harnack inequality and Cartan property for nonlocal Ws,1-minimizers

Lusin approximation for functions of bounded variation

Weak Harnack inequality and Cartan property for nonlocal $W^{s, 1}$ -minimizers