2 papers
math.CV2023
Boundary Extensions for mappings between metric spaces
Yao-Lan Tian, Yi Xuan
In this paper, we consider boundary extensions of two classes of mappings between metric measure spaces. These two mapping classes extend in particular the well-studied geometric m…
math.AP2023
Weighted fractional Sobolev-Poincaré inequalities in irregular domains
Yi Xuan
In this paper, we study weighted fractional Sobolev-Poincaré inequalities for irregular domains. The weights considered here are distances to the boundary to certain powers, and th…