Fractional powers of operators and Riesz fractional integrals

DOI10.1017/S0308210500018709zbMath0687.47008MaRDI QIDQ4205955

S. E. Schiavone

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

multivariable fractional integrals and derivativesfractional calculus for continuous operators on Fréchet spacesfractional calculus for continuous operators on Fréchet spaces with topology generated by a countable multinormpowers of complex exponentresolvent-setswith topology generated by a countable multinorm

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on function spaces (general) (47B38)

Related Items (1)

Distributional fractional powers and Riesz fractional integrals

Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• A distributional theory of fractional calculus

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