Weighted inequalities for the Riesz potential on the sphere

DOI10.1080/10652469.2016.1158176zbMath1350.42020OpenAlexW2320313541MaRDI QIDQ2812130

Óscar Ciaurri, Edgar Labarga, Alberto Arenas

Publication date: 16 June 2016

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

Full work available at URL: https://doi.org/10.1080/10652469.2016.1158176

zbMATH Keywords

weighted inequalitiesconformal Laplacianultraspherical polynomialsRiesz potential

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Cites Work

• Fractional integrals on radial functions with applications to weighted inequalities
• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• The inversion of fractional integrals on a sphere
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Pitt's inequality with sharp convolution estimates

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