The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces

Autores
Dalmasso, Estefanía Dafne; Pradolini, Gladis Guadalupe; Ramos, Wilfredo Ariel
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove boundedness results for integral operators of fractional type and their higher order commutators between weighted spaces, including Lp-Lq, Lp-BMO and Lp-Lipschitz estimates. The kernels of such operators satisfy certain size condition and a Lipschitz type regularity, and the symbol of the commutator belongs to a Lipschitz class. We also deal with commutators of fractional type operators with less regular kernels satisfying a Hörmander's type inequality. As far as we know, these last results are new even in the unweighted case. Moreover, we give a characterization result involving symbols of the commutators and continuity results for extreme values of p.
Fil: Dalmasso, Estefanía Dafne. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Pradolini, Gladis Guadalupe. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ramos, Wilfredo Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste. Instituto de Modelado e Innovación Tecnológica. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura. Instituto de Modelado e Innovación Tecnológica; Argentina
Materia
COMMUTATORS
FRACTIONAL CALCULUS OPERATORS
LIPSCHITZ SYMBOLS
WEIGHTS
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:11336/175865
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/175865
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spacesDalmasso, Estefanía DafnePradolini, Gladis GuadalupeRamos, Wilfredo ArielCOMMUTATORSFRACTIONAL CALCULUS OPERATORSLIPSCHITZ SYMBOLSWEIGHTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove boundedness results for integral operators of fractional type and their higher order commutators between weighted spaces, including Lp-Lq, Lp-BMO and Lp-Lipschitz estimates. The kernels of such operators satisfy certain size condition and a Lipschitz type regularity, and the symbol of the commutator belongs to a Lipschitz class. We also deal with commutators of fractional type operators with less regular kernels satisfying a Hörmander's type inequality. As far as we know, these last results are new even in the unweighted case. Moreover, we give a characterization result involving symbols of the commutators and continuity results for extreme values of p.Fil: Dalmasso, Estefanía Dafne. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Pradolini, Gladis Guadalupe. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ramos, Wilfredo Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste. Instituto de Modelado e Innovación Tecnológica. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura. Instituto de Modelado e Innovación Tecnológica; ArgentinaSpringer2018-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/175865Dalmasso, Estefanía Dafne; Pradolini, Gladis Guadalupe; Ramos, Wilfredo Ariel; The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces; Springer; Fractional Calculus and Applied Analysis; 21; 3; 6-2018; 628-6531311-0454CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1515/fca-2018-0034info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1515/fca-2018-0034info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1703.06200info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:37:03Zoai:ri.conicet.gov.ar:11336/175865instacron: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 10:37:03.968CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
title The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
spellingShingle The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
Dalmasso, Estefanía Dafne
COMMUTATORS
FRACTIONAL CALCULUS OPERATORS
LIPSCHITZ SYMBOLS
WEIGHTS
title_short The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
title_full The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
title_fullStr The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
title_full_unstemmed The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
title_sort The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
dc.creator.none.fl_str_mv Dalmasso, Estefanía Dafne
Pradolini, Gladis Guadalupe
Ramos, Wilfredo Ariel
author Dalmasso, Estefanía Dafne
author_facet Dalmasso, Estefanía Dafne
Pradolini, Gladis Guadalupe
Ramos, Wilfredo Ariel
author_role author
author2 Pradolini, Gladis Guadalupe
Ramos, Wilfredo Ariel
author2_role author
author
dc.subject.none.fl_str_mv COMMUTATORS
FRACTIONAL CALCULUS OPERATORS
LIPSCHITZ SYMBOLS
WEIGHTS
topic COMMUTATORS
FRACTIONAL CALCULUS OPERATORS
LIPSCHITZ SYMBOLS
WEIGHTS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We prove boundedness results for integral operators of fractional type and their higher order commutators between weighted spaces, including Lp-Lq, Lp-BMO and Lp-Lipschitz estimates. The kernels of such operators satisfy certain size condition and a Lipschitz type regularity, and the symbol of the commutator belongs to a Lipschitz class. We also deal with commutators of fractional type operators with less regular kernels satisfying a Hörmander's type inequality. As far as we know, these last results are new even in the unweighted case. Moreover, we give a characterization result involving symbols of the commutators and continuity results for extreme values of p.
Fil: Dalmasso, Estefanía Dafne. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Pradolini, Gladis Guadalupe. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ramos, Wilfredo Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste. Instituto de Modelado e Innovación Tecnológica. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura. Instituto de Modelado e Innovación Tecnológica; Argentina
description We prove boundedness results for integral operators of fractional type and their higher order commutators between weighted spaces, including Lp-Lq, Lp-BMO and Lp-Lipschitz estimates. The kernels of such operators satisfy certain size condition and a Lipschitz type regularity, and the symbol of the commutator belongs to a Lipschitz class. We also deal with commutators of fractional type operators with less regular kernels satisfying a Hörmander's type inequality. As far as we know, these last results are new even in the unweighted case. Moreover, we give a characterization result involving symbols of the commutators and continuity results for extreme values of p.
publishDate 2018
dc.date.none.fl_str_mv 2018-06
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/11336/175865
Dalmasso, Estefanía Dafne; Pradolini, Gladis Guadalupe; Ramos, Wilfredo Ariel; The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces; Springer; Fractional Calculus and Applied Analysis; 21; 3; 6-2018; 628-653
1311-0454
CONICET Digital
CONICET
url http://hdl.handle.net/11336/175865
identifier_str_mv Dalmasso, Estefanía Dafne; Pradolini, Gladis Guadalupe; Ramos, Wilfredo Ariel; The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces; Springer; Fractional Calculus and Applied Analysis; 21; 3; 6-2018; 628-653
1311-0454
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1515/fca-2018-0034
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1515/fca-2018-0034
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1703.06200
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
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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