Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities

Autores
Ibañez Firnkorn, Gonzalo Hugo; Riveros, Maria Silvina
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study commutators of a certain class of fractional type integral operators. These operators are given by kernels of the form K(x,y) = k1(x−A1y)k2(x−A2y)...km(x−Amy), where Ai are invertible matrices and each ki satisfies a fractional size condition and generalized fractional Hörmander condition. We obtain weighted Coifman estimates and weighted Lp(wp) - Lq(wq) estimates. We also give a two-weighted strong type estimate for pairs of weights of the form (u,Su) where u is an arbitrary non-negative function and S is a maximal operator depending on the smoothness of the kernel K. For the singular case we also give a two-weighted endpoint estimate.
Fil: Ibañez Firnkorn, Gonzalo Hugo. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Riveros, Maria Silvina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
BMO
COMMUTATORS
FRACTIONAL OPERATORS
HÖRMANDER’S CONDITION OF YOUNG TYPE
ONE WEIGHTED INEQUALITIES
TWO WEIGHTED INEQUALITIES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/143429
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/143429
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalitiesIbañez Firnkorn, Gonzalo HugoRiveros, Maria SilvinaBMOCOMMUTATORSFRACTIONAL OPERATORSHÖRMANDER’S CONDITION OF YOUNG TYPEONE WEIGHTED INEQUALITIESTWO WEIGHTED INEQUALITIEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study commutators of a certain class of fractional type integral operators. These operators are given by kernels of the form K(x,y) = k1(x−A1y)k2(x−A2y)...km(x−Amy), where Ai are invertible matrices and each ki satisfies a fractional size condition and generalized fractional Hörmander condition. We obtain weighted Coifman estimates and weighted Lp(wp) - Lq(wq) estimates. We also give a two-weighted strong type estimate for pairs of weights of the form (u,Su) where u is an arbitrary non-negative function and S is a maximal operator depending on the smoothness of the kernel K. For the singular case we also give a two-weighted endpoint estimate.Fil: Ibañez Firnkorn, Gonzalo Hugo. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Riveros, Maria Silvina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaElement2020-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/143429Ibañez Firnkorn, Gonzalo Hugo; Riveros, Maria Silvina; Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities; Element; Mathematical Inequalities & Applications; 23; 4; 4-2020; 1361-13891331-4343CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.7153/mia-2020-23-100info:eu-repo/semantics/altIdentifier/url/http://mia.ele-math.com/23-100/Commutators-of-certain-fractional-type-operators-with-Hormander-conditions,-one-weighted-and-two-weighted-inequalitiesinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:53:44Zoai:ri.conicet.gov.ar:11336/143429instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:53:44.61CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
title Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
spellingShingle Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
Ibañez Firnkorn, Gonzalo Hugo
BMO
COMMUTATORS
FRACTIONAL OPERATORS
HÖRMANDER’S CONDITION OF YOUNG TYPE
ONE WEIGHTED INEQUALITIES
TWO WEIGHTED INEQUALITIES
title_short Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
title_full Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
title_fullStr Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
title_full_unstemmed Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
title_sort Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
dc.creator.none.fl_str_mv Ibañez Firnkorn, Gonzalo Hugo
Riveros, Maria Silvina
author Ibañez Firnkorn, Gonzalo Hugo
author_facet Ibañez Firnkorn, Gonzalo Hugo
Riveros, Maria Silvina
author_role author
author2 Riveros, Maria Silvina
author2_role author
dc.subject.none.fl_str_mv BMO
COMMUTATORS
FRACTIONAL OPERATORS
HÖRMANDER’S CONDITION OF YOUNG TYPE
ONE WEIGHTED INEQUALITIES
TWO WEIGHTED INEQUALITIES
topic BMO
COMMUTATORS
FRACTIONAL OPERATORS
HÖRMANDER’S CONDITION OF YOUNG TYPE
ONE WEIGHTED INEQUALITIES
TWO WEIGHTED INEQUALITIES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we study commutators of a certain class of fractional type integral operators. These operators are given by kernels of the form K(x,y) = k1(x−A1y)k2(x−A2y)...km(x−Amy), where Ai are invertible matrices and each ki satisfies a fractional size condition and generalized fractional Hörmander condition. We obtain weighted Coifman estimates and weighted Lp(wp) - Lq(wq) estimates. We also give a two-weighted strong type estimate for pairs of weights of the form (u,Su) where u is an arbitrary non-negative function and S is a maximal operator depending on the smoothness of the kernel K. For the singular case we also give a two-weighted endpoint estimate.
Fil: Ibañez Firnkorn, Gonzalo Hugo. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Riveros, Maria Silvina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description In this paper we study commutators of a certain class of fractional type integral operators. These operators are given by kernels of the form K(x,y) = k1(x−A1y)k2(x−A2y)...km(x−Amy), where Ai are invertible matrices and each ki satisfies a fractional size condition and generalized fractional Hörmander condition. We obtain weighted Coifman estimates and weighted Lp(wp) - Lq(wq) estimates. We also give a two-weighted strong type estimate for pairs of weights of the form (u,Su) where u is an arbitrary non-negative function and S is a maximal operator depending on the smoothness of the kernel K. For the singular case we also give a two-weighted endpoint estimate.
publishDate 2020
dc.date.none.fl_str_mv 2020-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/143429
Ibañez Firnkorn, Gonzalo Hugo; Riveros, Maria Silvina; Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities; Element; Mathematical Inequalities & Applications; 23; 4; 4-2020; 1361-1389
1331-4343
CONICET Digital
CONICET
url http://hdl.handle.net/11336/143429
identifier_str_mv Ibañez Firnkorn, Gonzalo Hugo; Riveros, Maria Silvina; Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities; Element; Mathematical Inequalities & Applications; 23; 4; 4-2020; 1361-1389
1331-4343
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.7153/mia-2020-23-100
info:eu-repo/semantics/altIdentifier/url/http://mia.ele-math.com/23-100/Commutators-of-certain-fractional-type-operators-with-Hormander-conditions,-one-weighted-and-two-weighted-inequalities
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Element
publisher.none.fl_str_mv Element
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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