Behaviour of the Brascamp-Lieb constant

被引：19

作者：

Bennett, Jonathan ^{[1
]}

Bez, Neal ^{[2
]}

Cowling, Michael G. ^{[3
]}

Flock, Taryn C. ^{[1
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[2] Saitama Univ, Dept Math, Grad Sch Sci & Engn, Saitama 3388570, Japan

[3] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2017年 / 49卷 / 03期

基金：

澳大利亚研究理事会; 欧洲研究理事会;

关键词：

26D20 (primary); 44A35; 42B10 (secondary); SINGULAR MEASURES; INEQUALITIES;

D O I：

10.1112/blms.12049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recent progress in multilinear harmonic analysis naturally raises questions about the local behaviour of the best constant (or bound) in the general Brascamp-Lieb inequality as a function of the underlying linear transformations. In this paper we prove that this constant is continuous, but is not in general differentiable.

引用

页码：512 / 518

页数：7

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