Sharp bounds for fractional one-sided operators

Autores
Riveros, Maria Silvina; Vidal, Raúl Emilio
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities. Also a new two-weight testing condition for the one-sided fractional maximal function is introduced extending the work of Martín-Reyes and de la Torre. Improving some extrapolation result for the one-sided case, we get weak sharp bounded estimates for one-sided fractional maximal function and weak and strong sharp bounded estimates for one-sided fractional integral.
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
Fil: Vidal, Raúl Emilio. 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
Materia
Extrapolation
One-Sided Fractional Integrals
One-Sided Maximal Fractional Function
Sawyer 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:11336/58368
Acceder
id CONICETDig_b1b35cd889879a76e7d763797d0bd2ea
oai_identifier_str oai:ri.conicet.gov.ar:11336/58368
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Sharp bounds for fractional one-sided operatorsRiveros, Maria SilvinaVidal, Raúl EmilioExtrapolationOne-Sided Fractional IntegralsOne-Sided Maximal Fractional FunctionSawyer Weightshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper, we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities. Also a new two-weight testing condition for the one-sided fractional maximal function is introduced extending the work of Martín-Reyes and de la Torre. Improving some extrapolation result for the one-sided case, we get weak sharp bounded estimates for one-sided fractional maximal function and weak and strong sharp bounded estimates for one-sided fractional integral.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; ArgentinaFil: Vidal, Raúl Emilio. 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; ArgentinaSpringer Heidelberg2016-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/58368Riveros, Maria Silvina; Vidal, Raúl Emilio; Sharp bounds for fractional one-sided operators; Springer Heidelberg; Acta Mathematica Sinica-english Series; 32; 11; 11-2016; 1255-12781439-8516CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10114-016-5552-xinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10114-016-5552-xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:48:40Zoai:ri.conicet.gov.ar:11336/58368instacron: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:34982025-09-03 09:48:40.938CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Sharp bounds for fractional one-sided operators
title Sharp bounds for fractional one-sided operators
spellingShingle Sharp bounds for fractional one-sided operators
Riveros, Maria Silvina
Extrapolation
One-Sided Fractional Integrals
One-Sided Maximal Fractional Function
Sawyer Weights
title_short Sharp bounds for fractional one-sided operators
title_full Sharp bounds for fractional one-sided operators
title_fullStr Sharp bounds for fractional one-sided operators
title_full_unstemmed Sharp bounds for fractional one-sided operators
title_sort Sharp bounds for fractional one-sided operators
dc.creator.none.fl_str_mv Riveros, Maria Silvina
Vidal, Raúl Emilio
author Riveros, Maria Silvina
author_facet Riveros, Maria Silvina
Vidal, Raúl Emilio
author_role author
author2 Vidal, Raúl Emilio
author2_role author
dc.subject.none.fl_str_mv Extrapolation
One-Sided Fractional Integrals
One-Sided Maximal Fractional Function
Sawyer Weights
topic Extrapolation
One-Sided Fractional Integrals
One-Sided Maximal Fractional Function
Sawyer 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 In this paper, we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities. Also a new two-weight testing condition for the one-sided fractional maximal function is introduced extending the work of Martín-Reyes and de la Torre. Improving some extrapolation result for the one-sided case, we get weak sharp bounded estimates for one-sided fractional maximal function and weak and strong sharp bounded estimates for one-sided fractional integral.
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
Fil: Vidal, Raúl Emilio. 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
description In this paper, we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities. Also a new two-weight testing condition for the one-sided fractional maximal function is introduced extending the work of Martín-Reyes and de la Torre. Improving some extrapolation result for the one-sided case, we get weak sharp bounded estimates for one-sided fractional maximal function and weak and strong sharp bounded estimates for one-sided fractional integral.
publishDate 2016
dc.date.none.fl_str_mv 2016-11
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/11336/58368
Riveros, Maria Silvina; Vidal, Raúl Emilio; Sharp bounds for fractional one-sided operators; Springer Heidelberg; Acta Mathematica Sinica-english Series; 32; 11; 11-2016; 1255-1278
1439-8516
CONICET Digital
CONICET
url http://hdl.handle.net/11336/58368
identifier_str_mv Riveros, Maria Silvina; Vidal, Raúl Emilio; Sharp bounds for fractional one-sided operators; Springer Heidelberg; Acta Mathematica Sinica-english Series; 32; 11; 11-2016; 1255-1278
1439-8516
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10114-016-5552-x
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10114-016-5552-x
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
dc.publisher.none.fl_str_mv Springer Heidelberg
publisher.none.fl_str_mv Springer Heidelberg
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
_version_ 1842268934427901952
score 13.13397

Publicaciones similares