Geodesic
Weak Factorizations of the Hardy Space H 1(Rn ) in Terms of Multilinear Riesz Transforms
Canadian mathematical bulletin, Tome 60 (2017) no. 3, pp. 571-585

Voir la notice de l'article provenant de la source Cambridge University Press

This paper provides a constructive proof of the weak factorization of the classical Hardy space ${{H}^{1}}({{\mathbb{R}}^{n}})$ in terms of multilinear Riesz transforms. As a direct application, we obtain a new proof of the characterization of $BMO({{\mathbb{R}}^{n}})$ (the dual of ${{H}^{1}}({{\mathbb{R}}^{n}})$ ) via commutators of the multilinear Riesz transforms.
DOI : 10.4153/CMB-2017-033-9
Mots-clés : 42B35, 42B20, Hardy space, BMO space, multilinear Riesz transform, weak factorization 
Li, Ji; Wick, Brett D. Weak Factorizations of the Hardy Space H 1(Rn ) in Terms of Multilinear Riesz Transforms. Canadian mathematical bulletin, Tome 60 (2017) no. 3, pp. 571-585. doi: 10.4153/CMB-2017-033-9
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