The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators
Czechoslovak Mathematical Journal (2023)
- Volume: 73, Issue: 1, page 135-149
- ISSN: 0011-4642
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topHe, Suixin, and Tao, Shuangping. "The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators." Czechoslovak Mathematical Journal 73.1 (2023): 135-149. <http://eudml.org/doc/299464>.
@article{He2023,
abstract = {We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting. As an application, we obtain the characterization of weighted BMO space via the weighted boundedness of commutators of the multilinear Calderón-Zygmund operators.},
author = {He, Suixin, Tao, Shuangping},
journal = {Czechoslovak Mathematical Journal},
keywords = {weighted Hardy space; weighted BMO space; multilinear Calderón-Zygmund operator; weak factorization},
language = {eng},
number = {1},
pages = {135-149},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators},
url = {http://eudml.org/doc/299464},
volume = {73},
year = {2023},
}
TY - JOUR
AU - He, Suixin
AU - Tao, Shuangping
TI - The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 1
SP - 135
EP - 149
AB - We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting. As an application, we obtain the characterization of weighted BMO space via the weighted boundedness of commutators of the multilinear Calderón-Zygmund operators.
LA - eng
KW - weighted Hardy space; weighted BMO space; multilinear Calderón-Zygmund operator; weak factorization
UR - http://eudml.org/doc/299464
ER -
References
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