Compensated Compactness, Separately convex Functions and interpolatory Estimates between Riesz Transforms and Haar Projections

Details Compensated Compactness, Separately convex Functions and interpolatory Estimates between Riesz Transforms and Haar Projections Compensated Compactness, Separately convex Functions and interpolatory Estimates between Riesz Transforms and Haar Projections

2009-02-12

arxiv.org/abs/0902.2102v1

Mathematics

Functional Analysis

Scientific paper

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.

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