Weak-type (1,1) estimates for strongly singular operators

Magali Folch-Gabayet, Ricardo A. Sáenz

Let $\psi$ be a positive function defined near the origin such that ${\lim }_{t\to 0^{+}}\psi (t)=0$. We consider the operator \begin{equation*} T_θf(x) = \lim_{\varepsilon\to 0^+} \int_\var…