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Compacité par compenstion et espaces de Hardy. (Compensated compactness and Hardy spaces). (French) Zbl 0684.46044
Summary: We prove that various nonlinear quantities occuring in the compensated compactness theory belong to the Hardy space \({\mathcal H}^ 1\). We also indicate some applications, variants and extensions of such results.

MSC:
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46A50 Compactness in topological linear spaces; angelic spaces, etc.
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