Behaviour of the Brascamp--Lieb constant

Jonathan Bennett; Neal Bez; Michael G. Cowling; Taryn C. Flock

doi:10.1112/blms.12049

Behaviour of the Brascamp--Lieb constant

Jonathan Bennett
, Neal Bez
, Michael G. Cowling
, Taryn C. Flock

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

289 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	512-518
Number of pages	7
Journal	Bulletin of the London Mathematical Society
Volume	49
Issue number	3
Early online date	5 Apr 2017
DOIs	https://doi.org/10.1112/blms.12049
Publication status	Published - Jun 2017

Bibliographical note

8 pages

Keywords

math.CA

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10.1112/blms.12049

Beennett_Behaviour_brascamp-lieb_constant_Bulletin_London_Mathematical_Society_2017
Final Version of Record published as above. Eligibility for repository: Checked on 20/3/2017
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Cite this

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title = "Behaviour of the Brascamp--Lieb constant",

abstract = "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.",

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author = "Jonathan Bennett and Neal Bez and Cowling, \{Michael G.\} and Flock, \{Taryn C.\}",

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AB - 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.

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UR - https://arxiv.org/abs/1605.08603

U2 - 10.1112/blms.12049

DO - 10.1112/blms.12049

M3 - Article

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VL - 49

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EP - 518

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 3

ER -

Behaviour of the Brascamp--Lieb constant

Abstract

Bibliographical note

Keywords

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Cite this