caa a22 4500 386382557 CHVBK 20180307112047.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500018709 doi S0308210500018709 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500018709 Schiavone S. E. Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada Fractional powers of operators and Riesz fractional integrals [Elektronische Daten] [S. E. Schiavone] 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. Copyright © Royal Society of Edinburgh 1989 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 112/3-4(1989), 237-247 0308-2105 112:3-4<237 1989 112 PRM https://doi.org/10.1017/S0308210500018709 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500018709 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schiavone S. E. Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 112/3-4(1989), 237-247 0308-2105 112:3-4<237 1989 112 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge