Fractional Calculus Operators Involving the Gauss Function on Spaces Fp,μand F'p,μ

DOI10.1002/mana.19901470127zbMath0737.46030OpenAlexW2142548312MaRDI QIDQ4712268

Megumi Saigo, Hans-Jürgen Glaeske

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1002/mana.19901470127

zbMATH Keywords

Gauss functionfractional calculus operators

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Functional calculus for linear operators (47A60) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items

Multidimensional Modified Fractional Calculus Operators, Integral transforms with fox'sH-function in spaces of summable functions, Operators of fractional integration and their applications, The Laplace Transformation on Certain Spaces of Generalized Functions, On generalized fractional integration operators with fox'sH-Functions on spaces F_p,μand, A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\), On some fractional order integral transforms generated by orthogonal polynomials

Cites Work

• Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation
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