Marcela Caldarelli

collaborators

2 papers

math.CA2018

A sparse approach to mixed weak type inequalities

Marcela Caldarelli, Israel P. Rivera-Ríos

In this paper we provide some quantitative mixed-type estimates assuming conditions that imply that $uv \in A_{\infty}$ for Calderón-Zygmund operators, rough singular integrals and…

math.CA2015

On a counterexample related to weighted weak type estimates for singular integrals

Marcela Caldarelli, Andrei K. Lerner, Sheldy Ombrosi

We show that the Hilbert transform does not map $L^{1} (M_{Φ} w)$ to $L^{1, \infty} (w)$ for every Young function $Φ$ growing more slowly than $t lo g lo g (e^{e} + t)$ . Our proof is…