Bessel potential space on the Laguerre hypergroup

DOI10.1186/1687-1847-2011-4zbMath1268.26009OpenAlexW2103387308WikidataQ59265530 ScholiaQ59265530MaRDI QIDQ1951020

Taieb Ahmed

Publication date: 28 May 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-4

zbMATH Keywords

Riesz potentialfractional powerfractional differentiationPoisson semigroupsheat-diffusion

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Potential theory on fractals and metric spaces (31E05)

Related Items (1)

Solvability for system of nonlinear singular differential equations with integral boundary conditions

Cites Work

• Fractional differentiation for the Gaussian measure and applications
• Semigroups of linear operators and applications to partial differential equations
• Heat-diffusion and Poisson integrals for Laguerre expansions
• Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• Sobolev type spaces on the dual of the Laguerre hypergroup
• Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions
• Fractional integration for Laguerre expansions
• The Hardy-Littlewood Theorem on Fractional Integration for Laguerre Series
• Poisson Integrals for Hermite and Laguerre Expansions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Lévy-Khintchine formula and dual convolution semigroups associated with Laguerre and Bessel functions

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