7 citations · 8 across the 6 of their papers we have counts for
10 papers
Equivalent characterizations of John and uniform domains in doubling metric spaces
Yaxiang Li, Yahui Sheng, Zhuang Wang
In this paper, we characterize John and uniform domains in doubling metric spaces. Specifically, we show that a locally quasiconvex domain in a doubling metric space is length John…
Boxing inequalities for relative fractional perimeter and fractional Poincaré-type inequalities on John domains with the BBM factor
Manzi Huang, Panu Lahti, Jiang Li +1
For and , we prove that for a given -John domain , the following Boxing inequality holds for every Lebesgue measurable…
Empowering Distributed Training with Sparsity-driven Data Synchronization
Zhuang Wang, Zhaozhuo Xu, Jingyi Xi +3
Distributed training is the de facto standard to scale up the training of deep learning models with multiple GPUs. Its performance bottleneck lies in communications for gradient sy…
Borderline case of traces and extensions for weighted Sobolev spaces
Manzi Huang, Xiantao Wang, Zhuang Wang +1
In this paper, we study the traces and the extensions for weighted Sobolev spaces on upper half spaces when the weights reach to the borderline cases. We first give a full characte…
Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains
Zhuang Wang, Haiqing Xu
Let be a Jordan domain satisfying hyperbolic growth conditions. Assume that is a homeomorphism from the boundary of onto the uni…
Characterization of trace spaces on regular trees via dyadic norms
Zhuang Wang
In this paper, we study the traces of Orlicz-Sobolev spaces on a regular rooted tree. After giving a dyadic decomposition of the boundary of the regular tree, we present a characte…