Upper bound for multi-parameter iterated commutators
Dalenc, Laurent (Université Paul Sabatier. Institut de Mathématiques de Toulouse)
Ou, Yumeng (Brown University. Department of Mathematics)

Fecha:	2016
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.
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Materia:	Iterated commutators ; Product BMO ; Multi-parameter paraproducts ; Dyadic shifts
Publicado en:	Publicacions matemàtiques, Vol. 60 Núm. 1 (2016) , p. 191-220 (Survey) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/302247
DOI: 10.5565/PUBLMAT_60116_07

30 p, 425.1 KB

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