Sobolev type spaces associated with jacobi differential operators

DOI10.1080/10652460008819253zbMath0965.47032OpenAlexW2168433582MaRDI QIDQ4513739

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Publication date: 5 August 2001

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460008819253

zbMATH Keywords

completenesspseudodifferential operatorsymbolspace of distributionsSobolev type spacesinclusionJacobi differential operatorsJacobi potential

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)

Related Items (13)

The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ Fractional Sobolev type spaces associated with a singular differential operator and applications ⋮ Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform ⋮ Integral representations of pseudo-differential operator associated with the Jacobi differential operator ⋮ Hardy-Littlewood-Sobolev-type inequality for the fractional Littlewood-Paley \(g\)-function in Jacobi analysis ⋮ The Kontorovich-Lebedev transform and Sobolev type space ⋮ Cherednik-Sobolev spaces and applications ⋮ Generalized spaces of Sobolev types and applications ⋮ Psedidifferential-difference operators associated with dunkl operators ⋮ Linear and nonlinear Bessel potentials associated with the Poly-axially operator ⋮ Zero-order Mehler-Fock transform and Sobolev-type space ⋮ Linear and nonlinear Bessel potentials associated with the Poly-axially operator ⋮ Sobolev spaces associated with a Dunkl type differential-difference operator on the real line and applications

Cites Work

• Inversion of the Lions transmutation operators using generalized wavelets
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Pseudo-differential operators associated with the Jacobi differential operator
• Sobolev type spaces associated with Bessel operators
• Mehler integral transform associated with Jacobi functions with respect to the dual variable
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• Unnamed Item

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