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.FA2022

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…

math.FA2021

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 $Q$ -absolutely continuous mappings $f : X \to V$ between a doubling metric measu…

math.FA2015

Sobolev functions in the critical case are uniformly continuous in $s$ -Ahlfors regular metric spaces when $s \leq 1$

Xiaodan Zhou

We prove that functions in the Hajłasz-Sobolev space $M^{1, s}$ on an $s$ -Ahlfors regular metric space are uniformly continuous when $s \leq 1$ .

A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces

Absolutely continuous mappings on doubling metric measure spaces

Sobolev functions in the critical case are uniformly continuous in s-Ahlfors regular metric spaces when s≤1

Sobolev functions in the critical case are uniformly continuous in $s$ -Ahlfors regular metric spaces when $s \leq 1$