Abstract
SynopsisIn this paper, a theory of fractional powers of operators due to Balakrishnan, which is valid for certain operators on Banach spaces, is extended to Fréchet spaces. The resultingtheory is shown to be more general than that developed in an earlier approach by Lamb, and is applied to obtain mapping properties of certain Riesz fractional integral operators on spaces of test functions.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. Functional Analysis
2. 2 Lamb W. . Fractional Powers of Operators on Frechet Spaces with Applications (Ph.D. Thesis, Strathclyde University, 1980).
3. Fractional powers of operators denned on a Frechet space;Lamb;Proc. Edinburgh Math. Soc.,1984
4. Fractional powers of closed operators and the semigroups generated by them
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2 articles.
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