Bourgain-Brezis-Mironescu Convergence via Triebel-Lizorkin Spaces

Denis Brazke, Armin Schikorra, Po-Lam Yung

We study a convergence result of Bourgain--Brezis--Mironescu (BBM) using Triebel-Lizorkin spaces. It is well known that as spaces $W^{s,p}=F_{p,p}^s$, and $H^{1,p} = F^{1}_{p,2…