The Hausdorff-Young inequality on Lie groups

Michael Cowling; Alessio Martini; Detlef Müller; Javier Parcet

doi:10.1007/s00208-018-01799-9

The Hausdorff-Young inequality on Lie groups

Michael Cowling, Alessio Martini, Detlef Müller, Javier Parcet

Mathematics

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

3 Citations (Scopus)

275 Downloads (Pure)

Abstract

We prove several results about the best constants in the Hausdorff–Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact Lie groups, and extend known results for the Heisenberg group. In addition, we prove a universal lower bound to the best constant for general Lie groups.

Original language	English
Pages (from-to)	93-131
Number of pages	39
Journal	Mathematische Annalen
Volume	375
Issue number	1-2
Early online date	9 Jan 2019
DOIs	https://doi.org/10.1007/s00208-018-01799-9
Publication status	Published - 1 Oct 2019

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s00208-018-01799-9Licence: Creative Commons: Attribution (CC BY)

Cowling_et_al_The_Hausdorff-Young_inequality_Mathematische_Annalen_2019Final published version, 691 KBLicence: Creative Commons: Attribution (CC BY)

https://link.springer.com/article/10.1007/s00208-018-01799-9Licence: Creative Commons: Attribution (CC BY)

Sub-Elliptic Harmonic Analysis
Martini, A. (Principal Investigator)
Engineering & Physical Science Research Council
1/01/17 → 31/12/18
Project: Research Councils

Cite this

@article{9207ec48b13c400593bbcadbb12aec08,

title = "The Hausdorff-Young inequality on Lie groups",

abstract = "We prove several results about the best constants in the Hausdorff–Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact Lie groups, and extend known results for the Heisenberg group. In addition, we prove a universal lower bound to the best constant for general Lie groups.",

author = "Michael Cowling and Alessio Martini and Detlef M{\"u}ller and Javier Parcet",

year = "2019",

month = oct,

day = "1",

doi = "10.1007/s00208-018-01799-9",

language = "English",

volume = "375",

pages = "93--131",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer",

number = "1-2",

}

TY - JOUR

T1 - The Hausdorff-Young inequality on Lie groups

AU - Cowling, Michael

AU - Martini, Alessio

AU - Müller, Detlef

AU - Parcet, Javier

PY - 2019/10/1

Y1 - 2019/10/1

N2 - We prove several results about the best constants in the Hausdorff–Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact Lie groups, and extend known results for the Heisenberg group. In addition, we prove a universal lower bound to the best constant for general Lie groups.

AB - We prove several results about the best constants in the Hausdorff–Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact Lie groups, and extend known results for the Heisenberg group. In addition, we prove a universal lower bound to the best constant for general Lie groups.

UR - http://www.scopus.com/inward/record.url?scp=85059872209&partnerID=8YFLogxK

U2 - 10.1007/s00208-018-01799-9

DO - 10.1007/s00208-018-01799-9

M3 - Article

SN - 0025-5831

VL - 375

SP - 93

EP - 131

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1-2

ER -

The Hausdorff-Young inequality on Lie groups

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Projects

Sub-Elliptic Harmonic Analysis

Cite this