Khanh Nguyen

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20242026

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3 papers · 1 filter

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.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 $Ω \subset X$ , where $X = (X, d, μ)$ is a given complete doubl…

math.FA2024

Existence and uniqueness of limits at infinity for bounded variation functions

Panu Lahti, Khanh Nguyen

In this paper, we study the existence of limits at infinity along almost every infinite curve for the upper and lower approximate limits of bounded variation functions on complete…