The optimal constants in Holder-Brascamp-Lieb inequalities for discrete Abelian groups
Classical Analysis and ODEs
2013-08-01 v1 Group Theory
Abstract
The optimal constants are found for Lebesgue norm multilinear inequalities of Holder-Brascamp-Lieb type for arbitrary discrete Abelian groups. Previously a criterion for finiteness of the constants had been established for finitely generated Abelian groups, and the optimal constant had been found in the torsion-free case. The main step here is the analysis of finite groups.
Keywords
Cite
@article{arxiv.1307.8442,
title = {The optimal constants in Holder-Brascamp-Lieb inequalities for discrete Abelian groups},
author = {Michael Christ},
journal= {arXiv preprint arXiv:1307.8442},
year = {2013}
}