Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
type: Item
instance of: scholarly article
title: Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
zbMATH Open document ID: 1204.39024
author: R. L. Frank
author: E. H. Lieb
published in: Calculus of Variations and Partial Differential Equations
publication date: 2010-09-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/0904.4275
review text: This paper gives a new proof of Hardy-Littlewood-Sobolev inequality. Main contribution of the authors is reflection positivity via inversions in spheres instead of reflections in planes.
reviewed by: Tej Singh Nahar
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 5786350
zbMATH Keywords: Hardy-Littlewood-Sobolev inequality
zbMATH Keywords: Reflection and inversion positivity
zbMATH Keywords: conformal transformation
MaRDI profile type: Publication
OpenAlex ID: W2045708258
arXiv ID: 0904.4275
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DOI: 10.1007/S00526-009-0302-X
description: scientific article; zbMATH DE number 5786350