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)

163 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

Access to Document

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
Accepted author manuscript, 144 KBLicence: None: All rights reserved

Cite this

@article{01384703fdf34dcebf8699399bd5524a,

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.",

keywords = "math.CA",

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

note = "8 pages",

year = "2017",

month = jun,

doi = "10.1112/blms.12049",

language = "English",

volume = "49",

pages = "512--518",

journal = "Bulletin of the London Mathematical Society",

issn = "0024-6093",

publisher = "London Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Behaviour of the Brascamp--Lieb constant

AU - Bennett, Jonathan

AU - Bez, Neal

AU - Cowling, Michael G.

AU - Flock, Taryn C.

N1 - 8 pages

PY - 2017/6

Y1 - 2017/6

N2 - 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.

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.

KW - math.CA

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

U2 - 10.1112/blms.12049

DO - 10.1112/blms.12049

M3 - Article

SN - 0024-6093

VL - 49

SP - 512

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

Access to Document

Fingerprint

Cite this