Upper bound for multi-parameter iterated commutators

dc.contributor.author
Dalenc, Laurent
dc.contributor.author
Ou, Yumeng
dc.date.issued
2016
dc.identifier
https://ddd.uab.cat/record/144966
dc.identifier
urn:10.5565/PUBLMAT_60116_07
dc.identifier
urn:oai:ddd.uab.cat:144966
dc.identifier
urn:oai:raco.cat:article/302247
dc.identifier
urn:articleid:20144350v60n1p191
dc.identifier
urn:scopus_id:85009154858
dc.identifier
urn:wos_id:000373250200007
dc.description.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.
dc.format
application/pdf
dc.language
eng
dc.publisher
dc.relation
;
dc.relation
Publicacions matemàtiques ; Vol. 60 Núm. 1 (2016), p. 191-220
dc.rights
open access
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Iterated commutators
dc.subject
Product BMO
dc.subject
Multi-parameter paraproducts
dc.subject
Dyadic shifts
dc.title
Upper bound for multi-parameter iterated commutators
dc.type
Article


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