Lerner, Andrei K.Ombrosi, Sheldy J.Pérez Moreno, Carlos2016-06-152016-06-152009-06Lerner, A.K., Ombrosi, S.J. y Pérez Moreno, C. (2009). Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden. Journal of Fourier Analysis and Applications, 15 (3), 394-403.1069-58691531-5851http://hdl.handle.net/11441/42363A well known open problem of Muckenhoupt-Wheeden says that any Calderón-Zygmund singular integral operator T is of weak type (1, 1) with respect to a couple of weights (w, Mw). In this paper we consider a somewhat “dual” problem: sup λ>0 λw x ∈ R n : |T f(x)| Mw > λ ≤ c Z Rn |f| dx. We prove a weaker version of this inequality with M3w instead of Mw. Also we study a related question about the behavior of the constant in terms of the A1 characteristic of w.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Calderón-Zygmund operatorsWeightinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s00041-008-9032-2