Upper bound for multi-parameter iterated commutators

• Autores: Laurent Dalenc, Yumeng Ou
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 60, Nº 1, 2016, págs. 191-220
• Idioma: inglés
• Enlaces
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• Resumen

  • 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.