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Functional Calculus for the Ornstein-Uhlenbeck Operator

Journal of Functional Analysis (2001) 183(2) 413-450
DOI: 10.1006/jfan.2001.3757
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Abstract

Let γ be the Gauss measure on Rd and L the Ornstein-Uhlenbeck operator, which is self adjoint in L2(γ). For every p in (1, ∞), p≠2, set φ*p=arcsin2/p-1 and consider the sector Sφ*p={z∈C:argz

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García-Cuerva, J., Mauceri, G., Meda, S., Sjögren, P., & Torrea, J. L. (2001). Functional Calculus for the Ornstein-Uhlenbeck Operator. Journal of Functional Analysis, 183(2), 413–450. https://doi.org/10.1006/jfan.2001.3757

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