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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