Asymptotics and inversion of Riesz potentials through decomposition in radial and spherical parts

DOI10.1007/s10231-014-0465-8zbMath1334.47050OpenAlexW2067016143MaRDI QIDQ268189

Johan Thim

Publication date: 14 April 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-014-0465-8

zbMATH Keywords

singular integralsspherical symmetryweighted spacesradial functionsRiesz potentials

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Singular integral equations (45E99) Potential operators (47G40)

Related Items (3)

Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces ⋮ Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency ⋮ A guide to the Choquard equation

Cites Work

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• Weighted convolution inequalities for radial functions
• Sharp weighted Young's inequalities and Moser-Trudinger inequalities on Heisenberg type groups and Grushin spaces
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Riesz potential equations in localL^p-spaces
• Asymptotic expansions and inequalities for hypergeometric function
• L'intégrale de Riemann-Liouville et le problème de Cauchy pour l'équation des ondes

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