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
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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.
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
@article{10_4153_CMB_2017_033_9,
author = {Li, Ji and Wick, Brett D.},
title = {Weak {Factorizations} of the {Hardy} {Space} {H} {1(Rn} ) in {Terms} of {Multilinear} {Riesz} {Transforms}},
journal = {Canadian mathematical bulletin},
pages = {571--585},
year = {2017},
volume = {60},
number = {3},
doi = {10.4153/CMB-2017-033-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-033-9/}
}
TY - JOUR AU - Li, Ji AU - Wick, Brett D. TI - Weak Factorizations of the Hardy Space H 1(Rn ) in Terms of Multilinear Riesz Transforms JO - Canadian mathematical bulletin PY - 2017 SP - 571 EP - 585 VL - 60 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-033-9/ DO - 10.4153/CMB-2017-033-9 ID - 10_4153_CMB_2017_033_9 ER -
%0 Journal Article %A Li, Ji %A Wick, Brett D. %T Weak Factorizations of the Hardy Space H 1(Rn ) in Terms of Multilinear Riesz Transforms %J Canadian mathematical bulletin %D 2017 %P 571-585 %V 60 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-033-9/ %R 10.4153/CMB-2017-033-9 %F 10_4153_CMB_2017_033_9
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