7 citations · 11 across the 15 of their papers we have counts for
25 papers
Capacitary density and removable sets for Newton-Sobolev functions in metric spaces
Panu Lahti
In a complete metric space equipped with a doubling measure and supporting a -Poincaré inequality, we show that every set satisfying a suitable capacitary density condition…
Quasiconformal, Lipschitz, and BV mappings in metric spaces
Panu Lahti
Consider a mapping between two metric measure spaces. We study generalized versions of the local Lipschitz number , as well as of the distortion nu…
Absolutely continuous mappings on doubling metric measure spaces
Panu Lahti, Xiaodan Zhou
Following Malý's definition of absolutely continuous functions of several variables, we consider -absolutely continuous mappings between a doubling metric measu…
On rough traces of BV functions
Panu Lahti
In metric measure spaces, we study boundary traces of BV functions in domains equipped with a doubling measure and supporting a Poincaré inequality, but possibly having a very larg…
Quasiconformal and Sobolev mappings in non-Ahlfors regular metric spaces
Panu Lahti, Xiaodan Zhou
We show that a mapping satisfying the metric condition of quasiconformality outside suitable exceptional sets is in the Newton-Sobolev class $N_{\textrm{loc}}^{1,1…
A note on indecomposable sets of finite perimeter
Panu Lahti
Bonicatto--Pasqualetto--Rajala (2020) proved that a decomposition theorem for sets of finite perimeter into indecomposable sets, known to hold in Euclidean spaces, holds also in co…