On the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials in weighted L²-spaces
Abstract Generation of a quasi-contractive semigroup by generalized Ornstein-Uhlenbeck operators ℒ = −∆ + ∇Φ · ∇ − G · ∇ + V + c|x|−2 in the weighted space L2(R N, e−Φ(x)dx) is proven, where Φ ∈ C2(R N, R), G ∈ C1(R N, R N), 0 ≤ V ∈ C1(R N) and c > 0. The proofs are carried out by an application of L2-weighted Hardy inequality and bilinear form techniques.
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2022
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172022000400941 |
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