L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques

Autores
Urciuolo, Marta; Vallejos, Lucas Alejandro
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Given a matrix A such that AM = I and 0 ≤ α < n, for an exponent p satisfying p(Ax) = p(x) for a.e. x ∈ Rn, using extrapolation techniques,we obtain Lp(·) → Lq(·) boundedness, 1/q(·) = 1/p(·) - α/n, andweak type estimates for integral operators of the form Tαf(x) = ∫ f(y)|x - A1y|α1⋯|x - Amy|αm dy, where A1,⋯, Am are different powers of A such that Ai - Aj is invertible for i ≠ j, α1 + ⋯ + αm = n - α. We give some generalizations of these results.
Fil: Urciuolo, Marta. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Vallejos, Lucas Alejandro. 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
FRACTIONAL INTEGRALS
VARIABLE EXPONENTS
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:11336/134071
Acceder
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network_name_str CONICET Digital (CONICET)
spelling L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniquesUrciuolo, MartaVallejos, Lucas AlejandroFRACTIONAL INTEGRALSVARIABLE EXPONENTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Given a matrix A such that AM = I and 0 ≤ α < n, for an exponent p satisfying p(Ax) = p(x) for a.e. x ∈ Rn, using extrapolation techniques,we obtain Lp(·) → Lq(·) boundedness, 1/q(·) = 1/p(·) - α/n, andweak type estimates for integral operators of the form Tαf(x) = ∫ f(y)|x - A1y|α1⋯|x - Amy|αm dy, where A1,⋯, Am are different powers of A such that Ai - Aj is invertible for i ≠ j, α1 + ⋯ + αm = n - α. We give some generalizations of these results.Fil: Urciuolo, Marta. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Vallejos, Lucas Alejandro. 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; ArgentinaHeldermann Verlag2020-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/134071Urciuolo, Marta; Vallejos, Lucas Alejandro; L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques; Heldermann Verlag; Georgian Mathematical Journal; 27; 3; 9-2020; 479-4841072-947XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1515/gmj-2018-0066info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/gmj-2018-0066/htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:29:09Zoai:ri.conicet.gov.ar:11336/134071instacron: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:34982025-10-15 15:29:10.04CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
title L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
spellingShingle L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
Urciuolo, Marta
FRACTIONAL INTEGRALS
VARIABLE EXPONENTS
title_short L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
title_full L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
title_fullStr L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
title_full_unstemmed L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
title_sort L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques
dc.creator.none.fl_str_mv Urciuolo, Marta
Vallejos, Lucas Alejandro
author Urciuolo, Marta
author_facet Urciuolo, Marta
Vallejos, Lucas Alejandro
author_role author
author2 Vallejos, Lucas Alejandro
author2_role author
dc.subject.none.fl_str_mv FRACTIONAL INTEGRALS
VARIABLE EXPONENTS
topic FRACTIONAL INTEGRALS
VARIABLE EXPONENTS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Given a matrix A such that AM = I and 0 ≤ α < n, for an exponent p satisfying p(Ax) = p(x) for a.e. x ∈ Rn, using extrapolation techniques,we obtain Lp(·) → Lq(·) boundedness, 1/q(·) = 1/p(·) - α/n, andweak type estimates for integral operators of the form Tαf(x) = ∫ f(y)|x - A1y|α1⋯|x - Amy|αm dy, where A1,⋯, Am are different powers of A such that Ai - Aj is invertible for i ≠ j, α1 + ⋯ + αm = n - α. We give some generalizations of these results.
Fil: Urciuolo, Marta. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Vallejos, Lucas Alejandro. 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 Given a matrix A such that AM = I and 0 ≤ α < n, for an exponent p satisfying p(Ax) = p(x) for a.e. x ∈ Rn, using extrapolation techniques,we obtain Lp(·) → Lq(·) boundedness, 1/q(·) = 1/p(·) - α/n, andweak type estimates for integral operators of the form Tαf(x) = ∫ f(y)|x - A1y|α1⋯|x - Amy|αm dy, where A1,⋯, Am are different powers of A such that Ai - Aj is invertible for i ≠ j, α1 + ⋯ + αm = n - α. We give some generalizations of these results.
publishDate 2020
dc.date.none.fl_str_mv 2020-09
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/11336/134071
Urciuolo, Marta; Vallejos, Lucas Alejandro; L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques; Heldermann Verlag; Georgian Mathematical Journal; 27; 3; 9-2020; 479-484
1072-947X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/134071
identifier_str_mv Urciuolo, Marta; Vallejos, Lucas Alejandro; L p(·)–L q(·) boundedness of some integral operators obtained by extrapolation techniques; Heldermann Verlag; Georgian Mathematical Journal; 27; 3; 9-2020; 479-484
1072-947X
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/gmj-2018-0066
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/gmj-2018-0066/html
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 Heldermann Verlag
publisher.none.fl_str_mv Heldermann Verlag
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 13.22299

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