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20162025
most citedHorizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations

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math.MG2021

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…

math.MG2019

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…