On weak-type $(1,1)$ for averaging type operators

S. Baena-Miret, M. J. Carro

It is known that, due to the fact that $L^{1,\infty }$ is not a Banach space, if $(T_j{)}_j$ is a sequence of bounded operators so that $$T_j:L^1⟶L^{1,\infty },$$ wi…