TY  - JOUR
A1  - Kakaroumpas, Spyridon
A1  - Soler i Gibert, Odí
T1  - Dyadic product BMO in the Bloom setting
T2  - Journal of the London Mathematical Society
N2  - Ó. Blasco and S. Pott showed that the supremum of operator norms over L\(^{2}\) of all bicommutators (with the same symbol) of one-parameter Haar multipliers dominates the biparameter dyadic product BMO norm of the symbol itself. In the present work we extend this result to the Bloom setting, and to any exponent 1 < p < ∞. The main tool is a new characterization in terms of paraproducts and two-weight John–Nirenberg inequalities for dyadic product BMO in the Bloom setting. We also extend our results to the whole scale of indexed spaces between little bmo and product BMO in the general multiparameter setting, with the appropriate iterated commutator in each case.
KW  - dyadic product BMO
KW  - bicommutators
KW  - Bloom setting
Y1  - 2022
UR  - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/31860
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-318602
SN  - 0024-6107
VL  - 106
IS  - 2
SP  - 899
EP  - 935
ER  -