Compensated Compactness, Separately Convex Functions and Interpolatory Estimates between Riesz Transforms and Haar Projections
Jihoon Lee, Paul F. X. Müller, Stefan G. Müller · Communications in Partial Differential Equations · 2011
We prove sharp interpolatory estimates between directional Haar projections and Riesz Transforms. We apply those to prove a conjecture of L. Tartar that arose within the theory of compensated compactness. To provide a frame of reference for the analytical estimates addressed in this paper we briefly review the core ideas of compensated compactness as developed by Murat and Tartar.