Rellich-Kondrachov type theorems on the half-space with general singular weights

Yunfan Zhao, Xiaojing Chen

We prove Rellich-Kondrachov type theorems on the half-space ${\mathbb{H}}^{N+1}=\{(y,x)\in \mathbb{R}\times {\mathbb{R}}^N:y>0\}$ endowed with the general weighted meas…