Mathematical Research Letters
Volume 6, Issue 4, July 1999 pp. 417-427.
Sharp Two-weight, weak-type norm inequalities for singular integral operatorsAuthors: D. Cruz-Uribe and C. Pérez
Author institution: Trinity College, and Universidad Autónoma de Madrid
Summary: We give a sufficient condition for singular integral operators and, more generally, Calder\'on-Zygmund operators to satisfy the weak $(p,p)$ inequality \[ u(\{ x\in \R^n : |Tf(x)|>t \}) \leq \frac{C}{t^p}\int_\subRn |f|^pv\,dx, \quad 1
0.\] This conditions is stronger than the $A_p$ condition and is sharp since it fails when $\delta=0$.
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