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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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 $s \leq 1$ .

math.GT2015

Sobolev Embedding of a Sphere Containing An Arbitrary Cantor Set in the image

Piotr Hajłasz, Xiaodan Zhou

We construct a large class of pathological $n$ -dimensional topological spheres in $R^{n + 1}$ by showing that for any Cantor set $C \subset R^{n + 1}$ there is a top…

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

Sobolev Embedding of a Sphere Containing An Arbitrary Cantor Set in the image

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