7 citations · 9 across the 5 of their papers we have counts for
5 papers
Global quadratic estimates for degenerate elliptic operators on cylinders
Gianmarco Brocchi, Andreas Rosén
On -dimensional cylinders , with a closed manifold as base and large scale dimension , we prove quadratic estimates in weighted…
The metric for matrix degenerate Kato square root operators
Gianmarco Brocchi, Andreas Rosén
We prove a Kato square root estimate with anisotropically degenerate matrix coefficients. We do so by doing the harmonic analysis using an auxiliary Riemannian metric adapted to th…
Refined Two Weight Estimates for the Bergman Projection
Gianmarco Brocchi
We prove sufficient conditions for the two-weight boundedness of the Bergman projection on the unit ball. The first condition is in terms of Orlicz averages of the weights, while t…
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…
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 \…