Home > Articles > Published articles > Upper bound for multi-parameter iterated commutators |
Date: | 2016 |
Abstract: | We show that the product BMO space can be characterized by iterated commutators of a large class of Calderón-Zygmund operators. This result followsfrom 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. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Iterated commutators ; Product BMO ; Multi-parameter paraproducts ; Dyadic shifts |
Published in: | Publicacions matemàtiques, Vol. 60 Núm. 1 (2016) , p. 191-220 (Survey) , ISSN 2014-4350 |
30 p, 425.1 KB |