%0 Journal Article
%A Soria de Diego, Francisco Javier
%A Carro Rossell, María Jesús
%A Li, Hongliang
%A Sun, Qinxiu
%T Calderón-Zygmund operators and commutators on weighted Lorentz spaces
%D 2020
%@ 1050-6926
%U https://hdl.handle.net/20.500.14352/7564
%X We find necessary conditions (which are also sufficient, for some particular cases) for a pair of weights u and w such that a Calder_on-Zygmund operator T, or its commutator [b; T], with b 2 BMO, is bounded on the weighted Lorentz spaces _p u(w), for 1 < p < 1. This result completes the study already known for the Hardy-Littlewood maximal operator and the Hilbert transform, and hence unifies the weighted theories for the Ap and Bp classes.
%~