Dyadic lower little BMO estimates

Abstract

We characterize dyadic little BMO via the boundedness of the tensor commutator with a single well chosen dyadic shift. It is shown that several proof strategies work for this problem, both in the unweighted case as well as with Bloom weights. Moreover, we address the flexibility of one of our methods.

17 pages. Minor changes after journal revision for consistency and clarity, to be published in Publicacions Matemàtiques