On the Bourgain--Brezis--Mironescu spaces over Carleson tents

Árpád Bényi, Bingyang Hu, Xiaojing Zhou

We introduce Carleson analogs of the Bourgain--Brezis--Mironescu spaces $B$ and $B_0$ by measuring mean oscillation over upper Carleson tents. For these spaces, denoted by $B_{\mat…