Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces

Autores
Cabral, Enrique Adrián
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Cabral, Enrique Adrián. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
In this work we show that many operators from harmonic analysis associated with the semigroup generated by the Schr ̈odinger operator L = −Δ +V in n , where n > 2 and the non–negative potential V belongs to the reverse H ̈older class RHq with q > n/2 – such as max- imal operators, the Littlewood–Paley function, pseudo–differential operators, singular integrals, and their commutators – are bounded on the weighted variable Lebesgue space Lp(·) (w). We do so by applying the theory of weighted norm inequalities and extrapolation.
Fuente
Mathematical Inequalities & Applications, 2024, vol. 27, no. 4, p. 859-885.
Materia
Norm inequalities
Schrödinger operator
Variable Lebesgue spaces
Extrapolation
Weights
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Institución
Universidad Nacional del Nordeste
OAI Identificador
oai:repositorio.unne.edu.ar:123456789/60056
Acceder
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oai_identifier_str oai:repositorio.unne.edu.ar:123456789/60056
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling Weighted norm inequalities for Schrödinger operators on variable Lebesgue spacesCabral, Enrique AdriánNorm inequalitiesSchrödinger operatorVariable Lebesgue spacesExtrapolationWeightsFil: Cabral, Enrique Adrián. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.In this work we show that many operators from harmonic analysis associated with the semigroup generated by the Schr ̈odinger operator L = −Δ +V in n , where n > 2 and the non–negative potential V belongs to the reverse H ̈older class RHq with q > n/2 – such as max- imal operators, the Littlewood–Paley function, pseudo–differential operators, singular integrals, and their commutators – are bounded on the weighted variable Lebesgue space Lp(·) (w). We do so by applying the theory of weighted norm inequalities and extrapolation.Element Publishing house2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 859-885application/pdfCabral, Enrique Adrián, 2024. Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces. Mathematical Inequalities & Applications. Zagreb: Element Publishing house, vol. 27, no. 4, p. 859-885. E-ISSN 1848-9966. DOI dx.doi.org/10.7153/mia-2024-27-591331-4343http://repositorio.unne.edu.ar/handle/123456789/60056Mathematical Inequalities & Applications, 2024, vol. 27, no. 4, p. 859-885.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteengdx.doi.org/10.7153/mia-2024-27-59info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2026-02-26T14:06:57Zoai:repositorio.unne.edu.ar:123456789/60056instacron:UNNEInstitucionalhttp://repositorio.unne.edu.ar/Universidad públicaNo correspondehttp://repositorio.unne.edu.ar/oaiososa@bib.unne.edu.ar;sergio.alegria@unne.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:48712026-02-26 14:06:57.837Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
spellingShingle Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
Cabral, Enrique Adrián
Norm inequalities
Schrödinger operator
Variable Lebesgue spaces
Extrapolation
Weights
title_short Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_full Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_fullStr Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_full_unstemmed Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
title_sort Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces
dc.creator.none.fl_str_mv Cabral, Enrique Adrián
author Cabral, Enrique Adrián
author_facet Cabral, Enrique Adrián
author_role author
dc.subject.none.fl_str_mv Norm inequalities
Schrödinger operator
Variable Lebesgue spaces
Extrapolation
Weights
topic Norm inequalities
Schrödinger operator
Variable Lebesgue spaces
Extrapolation
Weights
dc.description.none.fl_txt_mv Fil: Cabral, Enrique Adrián. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
In this work we show that many operators from harmonic analysis associated with the semigroup generated by the Schr ̈odinger operator L = −Δ +V in n , where n > 2 and the non–negative potential V belongs to the reverse H ̈older class RHq with q > n/2 – such as max- imal operators, the Littlewood–Paley function, pseudo–differential operators, singular integrals, and their commutators – are bounded on the weighted variable Lebesgue space Lp(·) (w). We do so by applying the theory of weighted norm inequalities and extrapolation.
description Fil: Cabral, Enrique Adrián. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
publishDate 2024
dc.date.none.fl_str_mv 2024
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 Cabral, Enrique Adrián, 2024. Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces. Mathematical Inequalities & Applications. Zagreb: Element Publishing house, vol. 27, no. 4, p. 859-885. E-ISSN 1848-9966. DOI dx.doi.org/10.7153/mia-2024-27-59
1331-4343
http://repositorio.unne.edu.ar/handle/123456789/60056
identifier_str_mv Cabral, Enrique Adrián, 2024. Weighted norm inequalities for Schrödinger operators on variable Lebesgue spaces. Mathematical Inequalities & Applications. Zagreb: Element Publishing house, vol. 27, no. 4, p. 859-885. E-ISSN 1848-9966. DOI dx.doi.org/10.7153/mia-2024-27-59
1331-4343
url http://repositorio.unne.edu.ar/handle/123456789/60056
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv dx.doi.org/10.7153/mia-2024-27-59
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
dc.format.none.fl_str_mv application/pdf
p. 859-885
application/pdf
dc.publisher.none.fl_str_mv Element Publishing house
publisher.none.fl_str_mv Element Publishing house
dc.source.none.fl_str_mv Mathematical Inequalities & Applications, 2024, vol. 27, no. 4, p. 859-885.
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname:Universidad Nacional del Nordeste
reponame_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
collection Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname_str Universidad Nacional del Nordeste
repository.name.fl_str_mv Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordeste
repository.mail.fl_str_mv ososa@bib.unne.edu.ar;sergio.alegria@unne.edu.ar
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score 13.176822

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