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.

Keywords:

compensated compactness; Hardy space