Spherical reflection positivity and the Hardy-Littlewood-Sobolev inequality

zbMath1378.39013arXiv1003.5248MaRDI QIDQ3172647

Elliott H. Lieb, Rupert L. Frank

Publication date: 5 October 2011

Full work available at URL: https://arxiv.org/abs/1003.5248

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalitysperical reflection positivity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Functional inequalities, including subadditivity, convexity, etc. (39B62) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

Optimal functional inequalities for fractional operators on the sphere and applications ⋮ Reflection positivity and conformal symmetry ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ The Berezin form on symmetric $R$-spaces and reflection positivity ⋮ Minimizers for the fractional Sobolev inequality on domains ⋮ Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality ⋮ Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system

This page was built for publication: Spherical reflection positivity and the Hardy-Littlewood-Sobolev inequality