El principio de Calderón-Zygmund

In this note we show some estimates for multilinear commutators with vector symbol b = (b1,...,bm) defined by the expression Tbf(x) = Z Rn2 4Ym j=1 (bj (x) − bj (y)) 3 5 K(x, y)f(y) dy, where K is the kernel of any Calderón-Zygmund operator. We generalize and sharpen both classical results from Coif...

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Detalhes bibliográficos
Autores: Pérez Moreno, Carlos, Trujillo González, Rodrigo Francisco, Español González, Luis (Coordinador), Varona Malumbres, Juan Luis (Coordinador)
Tipo de documento: capítulo de livro
Estado:Versão publicada
Data de publicação:2001
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48235
Acesso em linha:http://hdl.handle.net/11441/48235
Access Level:Acceso aberto
Palavra-chave:Singular integral operators
Maximal functions
Commutators
Vector valued singular integral operators
Ap weights
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spelling El principio de Calderón-ZygmundPérez Moreno, CarlosTrujillo González, Rodrigo FranciscoEspañol González, Luis (Coordinador)Varona Malumbres, Juan Luis (Coordinador)Singular integral operatorsMaximal functionsCommutatorsVector valued singular integral operatorsAp weightsIn this note we show some estimates for multilinear commutators with vector symbol b = (b1,...,bm) defined by the expression Tbf(x) = Z Rn2 4Ym j=1 (bj (x) − bj (y)) 3 5 K(x, y)f(y) dy, where K is the kernel of any Calderón-Zygmund operator. We generalize and sharpen both classical results from Coifman, and Coifman, Rochberg and Weiss; and also more recent results from the first author. We show that these operators are intimately related to certain appropriate Orlicz type maximal function of the form ML(log L)α where the number α is related to the symbol b.Universidad de La RiojaEspañol González, LuisVarona Malumbres, Juan LuisAnálisis MatemáticoFQM-354: Análisis Real2001info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/48235reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)EspañolMargarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernándezhttps://dialnet.unirioja.es/descarga/articulo/599513.pdfLogroñoinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/482352026-06-17T12:51:07Z
dc.title.none.fl_str_mv El principio de Calderón-Zygmund
title El principio de Calderón-Zygmund
spellingShingle El principio de Calderón-Zygmund
Pérez Moreno, Carlos
Singular integral operators
Maximal functions
Commutators
Vector valued singular integral operators
Ap weights
title_short El principio de Calderón-Zygmund
title_full El principio de Calderón-Zygmund
title_fullStr El principio de Calderón-Zygmund
title_full_unstemmed El principio de Calderón-Zygmund
title_sort El principio de Calderón-Zygmund
dc.creator.none.fl_str_mv Pérez Moreno, Carlos
Trujillo González, Rodrigo Francisco
Español González, Luis (Coordinador)
Varona Malumbres, Juan Luis (Coordinador)
author Pérez Moreno, Carlos
author_facet Pérez Moreno, Carlos
Trujillo González, Rodrigo Francisco
Español González, Luis (Coordinador)
Varona Malumbres, Juan Luis (Coordinador)
author_role author
author2 Trujillo González, Rodrigo Francisco
Español González, Luis (Coordinador)
Varona Malumbres, Juan Luis (Coordinador)
author2_role author
author
author
dc.contributor.none.fl_str_mv Español González, Luis
Varona Malumbres, Juan Luis
Análisis Matemático
FQM-354: Análisis Real
dc.subject.none.fl_str_mv Singular integral operators
Maximal functions
Commutators
Vector valued singular integral operators
Ap weights
topic Singular integral operators
Maximal functions
Commutators
Vector valued singular integral operators
Ap weights
description In this note we show some estimates for multilinear commutators with vector symbol b = (b1,...,bm) defined by the expression Tbf(x) = Z Rn2 4Ym j=1 (bj (x) − bj (y)) 3 5 K(x, y)f(y) dy, where K is the kernel of any Calderón-Zygmund operator. We generalize and sharpen both classical results from Coifman, and Coifman, Rochberg and Weiss; and also more recent results from the first author. We show that these operators are intimately related to certain appropriate Orlicz type maximal function of the form ML(log L)α where the number α is related to the symbol b.
publishDate 2001
dc.date.none.fl_str_mv 2001
dc.type.none.fl_str_mv info:eu-repo/semantics/bookPart
info:eu-repo/semantics/publishedVersion
format bookPart
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/48235
url http://hdl.handle.net/11441/48235
dc.language.none.fl_str_mv Español
language_invalid_str_mv Español
dc.relation.none.fl_str_mv Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández
https://dialnet.unirioja.es/descarga/articulo/599513.pdf
Logroño
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidad de La Rioja
publisher.none.fl_str_mv Universidad de La Rioja
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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