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dc.contributor.author
Almeida, Victor
dc.contributor.author
Betancor, Jorge J.
dc.contributor.author
Fariña, Juan C.
dc.contributor.author
Quijano, Pablo
dc.contributor.author
Rodríguez Mesa, Lourdes
dc.date.available
2023-10-24T19:36:18Z
dc.date.issued
2022-02
dc.identifier.citation
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
dc.identifier.uri
http://hdl.handle.net/11336/215812
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Cornell University
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
Littlewood paley functions
dc.subject
Variation operator
dc.subject
Nonsymmetric Ornstein-Uhlenbeck.
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-07T21:57:54Z
dc.identifier.eissn
2331-8422
dc.journal.volume
2022
dc.journal.pagination
1-36
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Ithaca
dc.description.fil
Fil: Almeida, Victor. Universidad de la Laguna. Departamento de Analisis Matematico; España
dc.description.fil
Fil: Betancor, Jorge J.. Universidad de la Laguna. Departamento de Analisis Matematico; España
dc.description.fil
Fil: Fariña, Juan C.. Universidad de la Laguna. Departamento de Analisis Matematico; España
dc.description.fil
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
dc.description.fil
Fil: Rodríguez Mesa, Lourdes. Universidad de la Laguna. Departamento de Analisis Matematico; España
dc.journal.title
Arxiv
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2202.06136
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.48550/arXiv.2202.06136
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