Functional calculus for some perturbations of the Ornstein--Uhlenbeck operator
type: Item
instance of: scholarly article
title: Functional calculus for some perturbations of the Ornstein--Uhlenbeck operator
zbMATH Open document ID: 1168.47014
author: Andrea Carbonaro
published in: Mathematische Zeitschrift
publication date: 2009-06-16T00:00:00Z
review text: \textit{J.\,García--Cuerva, G.\,Mauceri, S.\,Meda, P.\,Sjögren} and \textit{J.\,L.\thinspace 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.
reviewed by: Khalil Ezzinbi
Mathematics Subject Classification ID: 47A60
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 5565289
zbMATH Keywords: Ornstein-Uhlenbeck operator
zbMATH Keywords: interpolation
zbMATH Keywords: functional calculus
zbMATH Keywords: spectral multipliers
MaRDI profile type: Publication
full work available at URL: s00209-008-0375-9
OpenAlex ID: W2060555497
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DOI: 10.1007/S00209-008-0375-9
description: scientific article; zbMATH DE number 5565289