Borderline Weak Type Estimates for Singular Integrals and Square Functions

Carlos Domingo-Salazar, Michael T. Lacey, Guillermo Rey

For any Calderón-Zygmund operator $T$, any weight $w$, and $\alpha >1$, the operator $T$ is bounded as a map from $L^1(M_{L\log \log L(\log \log \log L{)}^{\alpha }}w)$ into weak-$…