11 citations · 35 across the 12 of their papers we have counts for
6 papers · 1 filter
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…
Locally biHölder continuous mappings and their induced embeddings between Besov spaces
Manzi Huang, Xiantao Wang, Zhuang Wang +1
In this paper, we introduce a class of homeomorphisms between metric spaces, which are locally biHölder continuous mappings. Then an embedding result between Besov spaces induced b…
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…
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…
Trace and density results on regular trees
Pekka Koskela, Khanh Ngoc Nguyen, Zhuang Wang
We give characterizations for the existence of traces for first order Sobolev spaces defined on regular trees.
Dyadic norm Besov-type spaces as trace spaces on regular trees
Pekka Koskela, Zhuang Wang
In this paper, we study function spaces defined via dyadic energies on the boundaries of regular trees. We show that correct choices of dyadic energies result in Besov-type spaces…