In this talk, based on joint work with Spyridon Kakaroumpas (Universitäa Würzburg), we will discuss some results about dyadic multiparameter weighted $\mathrm{BMO}$ spaces. We will recall a result due to O. Blasco and S. Pott in the unweighted setting which asserts that the supremum of operator norms over $L^2$ of all bicommutators (with the same symbol $b$) of one-parameter Haar multipliers dominates the biparameter dyadic product $BMO$ norm of the symbol $b$ itself. In the current work, we extend this result to the weighted setting, and considering operator norms over $L^p$ spaces for any $1 < p < \infty.$ The main tool is a new characterisation in terms of paraproducts and two-weight John--Nirenberg inequalities for dyadic product $\mathrm{BMO}$ in the weighted setting.
Dyadic product weighted BMO spaces and commutators with Haar multipliers
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Nom de l'orateur
Odà Soler i Gibert
Etablissement de l'orateur
Wuerzburg University
Date et heure de l'exposé
Lieu de l'exposé
salle de seminaires