Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups

Autores
Almeida, Victor; Betancor, Jorge J.; Fariña, Juan C.; Quijano, Pablo; Rodríguez Mesa, Lourdes
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we establish Lp(Rd, γ∞)-boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here γ∞ denotes the invariant measure. In order to prove the strong type results for 1 < p < ∞ we use R-boundedness. The weak type (1,1) property is established by studying separately global and local operators defined for the square Littlewood-Paley functions. By the way we prove Lp(Rd, γ∞)-boundedness properties for maximal and variation operators for Ornstein-Uhlenbeck semigroups.
Fil: Almeida, Victor. Universidad de la Laguna. Departamento de Analisis Matematico; España
Fil: Betancor, Jorge J.. Universidad de la Laguna. Departamento de Analisis Matematico; España
Fil: Fariña, Juan C.. Universidad de la Laguna. Departamento de Analisis Matematico; España
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
Fil: Rodríguez Mesa, Lourdes. Universidad de la Laguna. Departamento de Analisis Matematico; España
Materia
Littlewood paley functions
Variation operator
Nonsymmetric Ornstein-Uhlenbeck.
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/215812
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroupsAlmeida, VictorBetancor, Jorge J.Fariña, Juan C.Quijano, PabloRodríguez Mesa, LourdesLittlewood paley functionsVariation operatorNonsymmetric Ornstein-Uhlenbeck.https://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we establish Lp(Rd, γ∞)-boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here γ∞ denotes the invariant measure. In order to prove the strong type results for 1 < p < ∞ we use R-boundedness. The weak type (1,1) property is established by studying separately global and local operators defined for the square Littlewood-Paley functions. By the way we prove Lp(Rd, γ∞)-boundedness properties for maximal and variation operators for Ornstein-Uhlenbeck semigroups.Fil: Almeida, Victor. Universidad de la Laguna. Departamento de Analisis Matematico; EspañaFil: Betancor, Jorge J.. Universidad de la Laguna. Departamento de Analisis Matematico; EspañaFil: Fariña, Juan C.. Universidad de la Laguna. Departamento de Analisis Matematico; EspañaFil: 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; ArgentinaFil: Rodríguez Mesa, Lourdes. Universidad de la Laguna. Departamento de Analisis Matematico; EspañaCornell University2022-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/215812Almeida, Victor; Betancor, Jorge J.; Fariña, Juan C.; Quijano, Pablo; Rodríguez Mesa, Lourdes; Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups; Cornell University; Arxiv; 2022; 2-2022; 1-362331-8422CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2202.06136info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2202.06136info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:09:56Zoai:ri.conicet.gov.ar:11336/215812instacron: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:34982025-09-10 13:09:56.393CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
title Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
spellingShingle Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
Almeida, Victor
Littlewood paley functions
Variation operator
Nonsymmetric Ornstein-Uhlenbeck.
title_short Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
title_full Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
title_fullStr Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
title_full_unstemmed Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
title_sort Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
dc.creator.none.fl_str_mv Almeida, Victor
Betancor, Jorge J.
Fariña, Juan C.
Quijano, Pablo
Rodríguez Mesa, Lourdes
author Almeida, Victor
author_facet Almeida, Victor
Betancor, Jorge J.
Fariña, Juan C.
Quijano, Pablo
Rodríguez Mesa, Lourdes
author_role author
author2 Betancor, Jorge J.
Fariña, Juan C.
Quijano, Pablo
Rodríguez Mesa, Lourdes
author2_role author
author
author
author
dc.subject.none.fl_str_mv Littlewood paley functions
Variation operator
Nonsymmetric Ornstein-Uhlenbeck.
topic Littlewood paley functions
Variation operator
Nonsymmetric Ornstein-Uhlenbeck.
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 establish Lp(Rd, γ∞)-boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here γ∞ denotes the invariant measure. In order to prove the strong type results for 1 < p < ∞ we use R-boundedness. The weak type (1,1) property is established by studying separately global and local operators defined for the square Littlewood-Paley functions. By the way we prove Lp(Rd, γ∞)-boundedness properties for maximal and variation operators for Ornstein-Uhlenbeck semigroups.
Fil: Almeida, Victor. Universidad de la Laguna. Departamento de Analisis Matematico; España
Fil: Betancor, Jorge J.. Universidad de la Laguna. Departamento de Analisis Matematico; España
Fil: Fariña, Juan C.. Universidad de la Laguna. Departamento de Analisis Matematico; España
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
Fil: Rodríguez Mesa, Lourdes. Universidad de la Laguna. Departamento de Analisis Matematico; España
description In this paper we establish Lp(Rd, γ∞)-boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here γ∞ denotes the invariant measure. In order to prove the strong type results for 1 < p < ∞ we use R-boundedness. The weak type (1,1) property is established by studying separately global and local operators defined for the square Littlewood-Paley functions. By the way we prove Lp(Rd, γ∞)-boundedness properties for maximal and variation operators for Ornstein-Uhlenbeck semigroups.
publishDate 2022
dc.date.none.fl_str_mv 2022-02
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/11336/215812
Almeida, Victor; Betancor, Jorge J.; Fariña, Juan C.; Quijano, Pablo; Rodríguez Mesa, Lourdes; Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups; Cornell University; Arxiv; 2022; 2-2022; 1-36
2331-8422
CONICET Digital
CONICET
url http://hdl.handle.net/11336/215812
identifier_str_mv Almeida, Victor; Betancor, Jorge J.; Fariña, Juan C.; Quijano, Pablo; Rodríguez Mesa, Lourdes; Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups; Cornell University; Arxiv; 2022; 2-2022; 1-36
2331-8422
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://arxiv.org/abs/2202.06136
info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2202.06136
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Cornell University
publisher.none.fl_str_mv Cornell University
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 12.993085

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