4 papers
Exceptional Sets for Quasiconformal Mappings in General Metric Spaces II
Behnam Esmayli, Pekka Koskela, Khanh Nguyen
A homemorphism between domains in , is quasiconformal, with its intricate analytic and geometric consequences, if the (pointwise) linear dilatation -- a purel…
Weak Harnack inequality and Cartan property for nonlocal -minimizers
Panu Lahti, Yuxin Li, Khanh Nguyen
We establish a weak Harnack inequality for nonlocal -subminimizers in a complete, connected, doubling metric measure space where . As a corollary, we prove that $W^…
Lusin approximation for functions of bounded variation
Panu Lahti, Khanh Nguyen
We prove a Lusin approximation of functions of bounded variation. If is a function of bounded variation on an open set , where is a given complete dou…
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…