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arXiv · 1401.5994

Upper Bound for Multi-parameter Iterated Commutators

Laurent Dalenc·Yumeng Ou
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Abstract

We show that the product BMO space can be characterized by iterated commutators of a large class of Calderón-Zygmund operators. This result follows from a new proof of boundedness of iterated commutators in terms of the BMO norm of their symbol functions, using Hytönen's representation theorem of Calderón-Zygmund operators as averages of dyadic shifts. The proof introduces some new paraproducts which have BMO estimates.

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Laurent Dalenc, Yumeng Ou. 2015-05-06. Upper Bound for Multi-parameter Iterated Commutators. https://arxiv.org/abs/1401.5994

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