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math.FA2026
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…
math.FA2021
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…