Xiaodan Zhou

activity

20152025

most citedA second-order operator for horizontal quasiconvexity in the Heisenberg group and application to convexity preserving for horizontal curvature flow

2 citations · 4 across the 17 of their papers we have counts for

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3 papers · 1 filter

math.MG2021

Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

Panu Lahti, Xiaodan Zhou

Given a homeomorphism $f : X \to Y$ between $Q$ -dimensional spaces $X, Y$ , we show that $f$ satisfying the metric definition of quasiconformality outside suitable exceptional set…

math.MG2021

Quasiconformal and Sobolev mappings in non-Ahlfors regular metric spaces

Panu Lahti, Xiaodan Zhou

We show that a mapping $f : X \to Y$ 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…