15 citations · 54 across the 42 of their papers we have counts for
5 papers · 1 filter
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…
Finely quasiconformal mappings
Panu Lahti
We introduce a relaxed version of the metric definition of quasiconformality that is natural also for mappings of low regularity, including $W_{\mathrm{loc}}^{1,1}(\mathbb{R}^n;\ma…
A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces
Panu Lahti, Andrea Pinamonti, Xiaodan Zhou
We study a characterization of BV and Sobolev functions via nonlocal functionals in metric spaces equipped with a doubling measure and supporting a Poincaré inequality. Compared wi…
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…
Generalized Lipschitz numbers, fine differentiability, and quasiconformal mappings
Panu Lahti
We introduce a generalized version of the local Lipschitz number , and show that it can be used to characterize Sobolev functions $u\in W_{\textrm{loc}}^{1,p}(\mat…