End-point estimates for iterated commutators of multilinear singular integrals

Iterated commutators of multilinear Calderon-Zygmund operators and pointwise multiplication with functions in \(BMO\) are studied in products of Lebesgue spaces. Both strong type and weak end-point estimates are obtained, including weighted results involving the vectors weights of the multilinear Ca...

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Published inarXiv.org
Main Authors Perez, Carlos, Pradolini, Gladis, Torres, Rodolfo, Trujillo-Gonzalez, Rodrigo
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.03.2011
Subjects
Commutators
Estimates
Mathematics - Classical Analysis and ODEs
Multiplication
Operators (mathematics)
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ISSN2331-8422
DOI10.48550/arxiv.1004.4976

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Summary:Iterated commutators of multilinear Calderon-Zygmund operators and pointwise multiplication with functions in \(BMO\) are studied in products of Lebesgue spaces. Both strong type and weak end-point estimates are obtained, including weighted results involving the vectors weights of the multilinear Calderon-Zygmund theory recently introduced in the literature. Some better than expected estimates for certain multilinear operators are presented too.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1004.4976