In this paper we estimate the Sobolev norm of a product of two scalar functions. The proof is direct and it follows by use of the Littlewood᎐Paley theory.
Norm estimates for functions of two operators on tensor products of Hilbert spaces
✍ Scribed by M. I. Gil'
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 144 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
Analytic operator valued functions of two operators on tensor products of Hilbert spaces are considered. A precise norm estimate is established. Applications to operator differential equations are also discussed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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