This is an announcement for the paper "Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections" by Jihoon Lee, Paul F. X. Mueller and Stefan Mueller .

Abstract: We 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.

Archive classification: math.FA

Mathematics Subject Classification: 49J45; 42C15; 35B35

The source file(s), lmm.bbl: 4934 bytes

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http://front.math.ucdavis.edu/0902.2102

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http://arXiv.org/abs/0902.2102

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