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Fractional powers of operators and Riesz fractional integrals

Published online by Cambridge University Press:  14 November 2011

S. E. Schiavone
S. E. Schiavone
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
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Synopsis

In 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 3-4 , 1989 , pp. 237 - 247
Copyright
Copyright © Royal Society of Edinburgh 1989

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References

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