15 citations · 54 across the 42 of their papers we have counts for
5 papers · 1 filter
Traces of Newton-Sobolev, Hajlasz-Sobolev and BV functions on metric spaces
Panu Lahti, Xining Li, Zhuang Wang
We study the boundary traces of Newton-Sobolev, Hajlasz-Sobolev, and BV (bounded variation) functions. Assuming less regularity of the domain than is usually done in the literature…
Functions of bounded variation on complete and connected one-dimensional metric spaces
Panu Lahti, Xiaodan Zhou
In this paper, we study functions of bounded variation on a complete and connected metric space with finite one-dimensional Hausdorff measure. The definition of BV functions on a c…
A new Federer-type characterization of sets of finite perimeter in metric spaces
Panu Lahti
Federer's characterization states that a set is of finite perimeter if and only if . Here the measure-theoretic bounda…
Duality of moduli and quasiconformal mappings in metric spaces
Rebekah Jones, Panu Lahti
We prove a duality relation for the moduli of the family of curves connecting two sets and the family of surfaces separating the sets, in the setting of a complete metric space equ…
Capacities and 1-strict subsets in metric spaces
Panu Lahti
In a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we study strict subsets, i.e. sets whose variational capacity with respect t…