Compacité par compenstion et espaces de Hardy. (Compensated compactness and Hardy spaces). (French) Zbl 0684.46044

Coifman, Ronald R.; Lions, Pierre-Louis; Meyer, Yves; Semmes, Stephen

C. R. Acad. Sci., Paris, Sér. I 309, No. 18, 945-949 (1989).

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