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math.CA2020★ 7 cited
Quadratic sparse domination and Weighted Estimates for non-integral Square Functions
Julian Bailey, Gianmarco Brocchi, Maria Carmen Reguera
We prove a quadratic sparse domination result for general non-integral square functions . That is, we prove an estimate of the form \begin{equation*} \int_{M} (S f)^{2} g \, \ma…
math.CA2020★ 2 cited
A sparse quadratic theorem
Gianmarco Brocchi
We show that any Littlewood--Paley square function satisfying a minimal local testing condition is dominated by a sparse form, \begin{equation*} \langle (Sf)^2,g \rangle\le C \…