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2016 Upper Bound for Multi-Parameter Iterated Commutators
Laurent Dalenc, Yumeng Ou
Publ. Mat. 60(1): 191-220 (2016).


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. "Upper Bound for Multi-Parameter Iterated Commutators." Publ. Mat. 60 (1) 191 - 220, 2016.


Published: 2016
First available in Project Euclid: 22 December 2015

zbMATH: 1333.42018
MathSciNet: MR3447738

Primary: 42B20

Keywords: dyadic shifts , iterated commutators , multi-parameter paraproducts , product BMO

Rights: Copyright © 2016 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.60 • No. 1 • 2016
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