15 citations · 27 across the 30 of their papers we have counts for
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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…
Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces
Panu Lahti, Xiaodan Zhou
Given a homeomorphism between -dimensional spaces , we show that satisfying the metric definition of quasiconformality outside suitable exceptional set…
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…
Removable sets for Newtonian Sobolev spaces and a characterization of -path almost open sets
Anders Björn, Jana Björn, Panu Lahti
We study removable sets for Newtonian Sobolev functions in metric measure spaces satisfying the usual (local) assumptions of a doubling measure and a Poincaré inequality. In partic…
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…