Functional calculus for some perturbations of the Ornstein–Uhlenbeck operator. (English) Zbl 1168.47014
J.García–Cuerva, G.Mauceri, S.Meda, P.Sjögren and J.L.Torrea [J. Funct.Anal.183, No.2, 413–450 (2001; Zbl 0995.47010)] proved that for every \(p>1\), the Ornstein–Uhlenbeck operator has a bounded holomorphic functional calculus in \(L^p\)-spaces. The paper under review presents a similar result for some perturbation of the Ornstein–Uhlenbeck operator.
Reviewer: Khalil Ezzinbi (Marrakech)
MSC:
| 47A60 | Functional calculus for linear operators |
| 42B15 | Multipliers for harmonic analysis in several variables |
| 47D03 | Groups and semigroups of linear operators |
Citations:
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