On the fractional integral of Weyl in \(L^ p\)

DOI10.1007/BF02571711zbMath0790.26005OpenAlexW1998678061MaRDI QIDQ1323398

Celso Martínez, Miguel Sanz, Maria Dolores Martinez

Publication date: 16 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02571711

zbMATH Keywords

Banach spacefractional powers of operatorsfractional integral of Riemann-Liouvillefractional integral of Weyl

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Functional calculus for linear operators (47A60)

Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• About fractional integrals in the space of locally integrable functions
• Fractional powers of non-negative operators in Fréchet spaces
• Some inequalities satisfied by the integrals or derivatives of real or analytic functions
• A distributional theory of fractional calculus
• An Approach to Fractional Powers of Operators via Fractional Differences
• Semigroups of Unbounded Linear Operators in Banach Space
• Fractional powers of closed operators
• Two index laws for fractional integrals and derivatives
• On Fractional Integration by Parts
• Fractional powers of operators
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