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arXiv · 2012.05376

Dyadic bi-parameter simple commutator and dyadic little BMO

Irina Holmes·Sergei Treil·Alexander Volberg
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Abstract

Let $\bfT$ is a certain tensor product of simple dyadic shifts defined below. We prove here that for dyadic bi-parameter commutator the following equivalence holds $ \|\bfT b-b \bfT \| \asymp \|b\|_{bmo^d}$. This result is well-known for many types of bi-parameter commutators, see \cite{FS}, \cite{DLWY} and \cite{DPSK} for more details.

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Irina Holmes, Sergei Treil, Alexander Volberg. 2020-12-10. Dyadic bi-parameter simple commutator and dyadic little BMO. https://arxiv.org/abs/2012.05376

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