Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms

Autores
Bongioanni, Bruno; Harboure, Eleonor Ofelia; Quijano, Pablo
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator T and some p, 1 < p < ∞, we look for operators M such that the inequality |+ |T f |pw < C | | f |pM w, holds true for any weight w. Specifically, we are interested in the case of T being any first or second order Riesz transform associated to the Schrödinger operator L = −Δ + V , with V a non-negative function satisfying an appropriate reverse-Hölder condition. For the Riesz-Schrödinger transforms ∇L−1/2 and ∇2 L−1 we make use of a result due to C. Pérez where this problem is solved for classical Calderón-Zygmund operators.
Fil: Bongioanni, Bruno. 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. Universidad Nacional del Litoral. Facultad de Ingeniería y Ciencias Hídricas; Argentina
Fil: Harboure, Eleonor Ofelia. 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. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
Fil: Quijano, Pablo. 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. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
Materia
SCHRÖDINGER OPERATOR
SINGULAR INTEGRAL
WEIGHTS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/142977
Acceder
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spelling Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transformsBongioanni, BrunoHarboure, Eleonor OfeliaQuijano, PabloSCHRÖDINGER OPERATORSINGULAR INTEGRALWEIGHTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator T and some p, 1 < p < ∞, we look for operators M such that the inequality |+ |T f |pw < C | | f |pM w, holds true for any weight w. Specifically, we are interested in the case of T being any first or second order Riesz transform associated to the Schrödinger operator L = −Δ + V , with V a non-negative function satisfying an appropriate reverse-Hölder condition. For the Riesz-Schrödinger transforms ∇L−1/2 and ∇2 L−1 we make use of a result due to C. Pérez where this problem is solved for classical Calderón-Zygmund operators.Fil: Bongioanni, Bruno. 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. Universidad Nacional del Litoral. Facultad de Ingeniería y Ciencias Hídricas; ArgentinaFil: Harboure, Eleonor Ofelia. 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. Universidad Nacional del Litoral. Facultad de Ingeniería Química; ArgentinaFil: Quijano, Pablo. 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. Universidad Nacional del Litoral. Facultad de Ingeniería Química; ArgentinaElement2020-03info: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/11336/142977Bongioanni, Bruno; Harboure, Eleonor Ofelia; Quijano, Pablo; Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms; Element; Mathematical Inequalities & Applications; 23; 3; 3-2020; 775-8031331-43431848-9966CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.7153/mia-2020-23-65info:eu-repo/semantics/altIdentifier/url/http://mia.http://mia.ele-math.com/23-65/Weighted-inequalities-of-Fefferman-Stein-type-for-Riesz-Schrodinger-transformsele-math.com/info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1810.11331info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:51:54Zoai:ri.conicet.gov.ar:11336/142977instacron: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 09:51:55.879CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
title Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
spellingShingle Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
Bongioanni, Bruno
SCHRÖDINGER OPERATOR
SINGULAR INTEGRAL
WEIGHTS
title_short Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
title_full Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
title_fullStr Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
title_full_unstemmed Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
title_sort Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
dc.creator.none.fl_str_mv Bongioanni, Bruno
Harboure, Eleonor Ofelia
Quijano, Pablo
author Bongioanni, Bruno
author_facet Bongioanni, Bruno
Harboure, Eleonor Ofelia
Quijano, Pablo
author_role author
author2 Harboure, Eleonor Ofelia
Quijano, Pablo
author2_role author
author
dc.subject.none.fl_str_mv SCHRÖDINGER OPERATOR
SINGULAR INTEGRAL
WEIGHTS
topic SCHRÖDINGER OPERATOR
SINGULAR INTEGRAL
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 work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator T and some p, 1 < p < ∞, we look for operators M such that the inequality |+ |T f |pw < C | | f |pM w, holds true for any weight w. Specifically, we are interested in the case of T being any first or second order Riesz transform associated to the Schrödinger operator L = −Δ + V , with V a non-negative function satisfying an appropriate reverse-Hölder condition. For the Riesz-Schrödinger transforms ∇L−1/2 and ∇2 L−1 we make use of a result due to C. Pérez where this problem is solved for classical Calderón-Zygmund operators.
Fil: Bongioanni, Bruno. 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. Universidad Nacional del Litoral. Facultad de Ingeniería y Ciencias Hídricas; Argentina
Fil: Harboure, Eleonor Ofelia. 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. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
Fil: Quijano, Pablo. 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. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
description In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator T and some p, 1 < p < ∞, we look for operators M such that the inequality |+ |T f |pw < C | | f |pM w, holds true for any weight w. Specifically, we are interested in the case of T being any first or second order Riesz transform associated to the Schrödinger operator L = −Δ + V , with V a non-negative function satisfying an appropriate reverse-Hölder condition. For the Riesz-Schrödinger transforms ∇L−1/2 and ∇2 L−1 we make use of a result due to C. Pérez where this problem is solved for classical Calderón-Zygmund operators.
publishDate 2020
dc.date.none.fl_str_mv 2020-03
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/11336/142977
Bongioanni, Bruno; Harboure, Eleonor Ofelia; Quijano, Pablo; Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms; Element; Mathematical Inequalities & Applications; 23; 3; 3-2020; 775-803
1331-4343
1848-9966
CONICET Digital
CONICET
url http://hdl.handle.net/11336/142977
identifier_str_mv Bongioanni, Bruno; Harboure, Eleonor Ofelia; Quijano, Pablo; Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms; Element; Mathematical Inequalities & Applications; 23; 3; 3-2020; 775-803
1331-4343
1848-9966
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-2020-23-65
info:eu-repo/semantics/altIdentifier/url/http://mia.http://mia.ele-math.com/23-65/Weighted-inequalities-of-Fefferman-Stein-type-for-Riesz-Schrodinger-transformsele-math.com/
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1810.11331
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
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 13.13397

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