Séminaire Analyse Harmonique
Causal sparse domination of Beurling maximal regularity operators
18
oct. 2021
 Intervenant : Andreas Rosen Institution : Chalmers University of Technology and Gothenburg University Heure : 14h00 - 15h00 Lieu : Zoom

We prove boundedness of Calderón--Zygmund operators acting in Banach functions spaces on domains, defined by the L_1 Carleson functional and L_q (1<q<\infty) Whitney averages. For such bounds to hold, we assume that the operator maps towards the boundary of the domain. We obtain the Carleson estimates by proving a pointwise domination of the operator, by sparse operators with a causal structure. The work is motivated by maximal regularity estimates for elliptic PDEs and is related to one-sided weighted estimates for singular integrals. This is joint work with Tuomas Hytönen.