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On the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials in weighted L²-spaces

dc.creatorMetoui, Imen
dc.date2022-07-29
dc.date.accessioned2022-08-30T15:59:46Z
dc.date.available2022-08-30T15:59:46Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5290
dc.identifier10.22199/issn.0717-6279-5290
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/207122
dc.descriptionGeneration of a quasi-contractive semigroup by generalized Ornstein-Uhlenbeck operators ℒ = −∆ + ∇Φ · ∇ − G · ∇ + V + c|x|−2 in the weighted space L2(RN, e−Φ(x)dx) is proven, where Φ ∈ C2(RN, R), G ∈ C1(RN, RN), 0 ≤ V ∈ C1(RN) and c > 0. The proofs are carried out by an application of L2-weighted Hardy inequality and bilinear form techniques.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5290/4096
dc.rightsCopyright (c) 2022 Imen Metouien-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 41 No. 4 (2022); 941-948en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 41 Núm. 4 (2022); 941-948es-ES
dc.source0717-6279
dc.subjectinverse square potentialen-US
dc.subjectregular potentialen-US
dc.subjectweighted Hardy inequalityen-US
dc.subjectgeneralized Ornstein-Uhlenbeck operatoren-US
dc.subjectC₀-semigroupen-US
dc.subjectbilinear formsen-US
dc.subject47D60en-US
dc.subject47D06en-US
dc.subject35K15en-US
dc.titleOn the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials in weighted L²-spacesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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