2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219604We prove sharp interpolatory estimates between Riesz Transforms and directional Haar projections. We obtain applications to the theory of compensated compactness and prove a conjecture of L. Tartar on semi-continuity of separately convex integrands.Functional Analysis49J45; 42C15; 35B35Compensated Compactness, Separately convex Functions and interpolatory Estimates between Riesz Transforms and Haar Projectionstext