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

• Metoui, Imen ^[1]
  1. [1] University of Tunis El-Manar.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 4, 2022, págs. 941-948
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5290
• Enlaces
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• Resumen

  • Generation 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.

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