End-point estimates for iterated commutators of multilinear singular integrals

Iterated commutators of multilinear Calder´on-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 Calde...

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Detalles Bibliográficos
Autores: Pérez Moreno, Carlos, Pradolini, Gladis, Torres, Rodolfo H., Trujillo González, Rodrigo Francisco
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42330
Acceso en línea:http://hdl.handle.net/11441/42330
https://doi.org/10.1112/blms/bdt065
Access Level:acceso abierto
Palabra clave:Multilinear singular integrals
Calder´on-Zygmund theory
maximal operators
weighted norm inequalities
commutators
Descripción
Sumario:Iterated commutators of multilinear Calder´on-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 Calder´on-Zygmund theory recently introduced in the literature. Some better than expected estimates for certain multilinear operators are presented too.