Improved Moser-Trudinger-Onofri Inequality under Constraints

Sun Yung A. Chang; Fengbo Hang

doi:10.1002/cpa.21952

Improved Moser-Trudinger-Onofri Inequality under Constraints

Sun Yung A. Chang, Fengbo Hang

Mathematics

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

4 Scopus citations

Abstract

A classical result of Aubin states that the constant in the Moser-Trudinger-Onofri inequality on (Formula presented.) can be improved for functions with zero first-order moments of the area element. We generalize it to the higher-order moments case. These new inequalities bear similarity to a sequence of Lebedev-Milin-type inequalities on (Formula presented.) coming from the work of Grenander-Szego on Toeplitz determinants (as pointed out by Widom). We also discuss the related sharp inequality by a perturbation method.

Original language	English (US)
Pages (from-to)	197-220
Number of pages	24
Journal	Communications on Pure and Applied Mathematics
Volume	75
Issue number	1
DOIs	https://doi.org/10.1002/cpa.21952
State	Published - Jan 2022

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Access to Document

10.1002/cpa.21952

Cite this

@article{abb165aefe2f421ba02c8f0fc5167a80,

title = "Improved Moser-Trudinger-Onofri Inequality under Constraints",

abstract = "A classical result of Aubin states that the constant in the Moser-Trudinger-Onofri inequality on (Formula presented.) can be improved for functions with zero first-order moments of the area element. We generalize it to the higher-order moments case. These new inequalities bear similarity to a sequence of Lebedev-Milin-type inequalities on (Formula presented.) coming from the work of Grenander-Szego on Toeplitz determinants (as pointed out by Widom). We also discuss the related sharp inequality by a perturbation method.",

author = "Chang, {Sun Yung A.} and Fengbo Hang",

note = "Publisher Copyright: {\textcopyright} 2020 Wiley Periodicals LLC.",

year = "2022",

month = jan,

doi = "10.1002/cpa.21952",

language = "English (US)",

volume = "75",

pages = "197--220",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

number = "1",

}

TY - JOUR

T1 - Improved Moser-Trudinger-Onofri Inequality under Constraints

AU - Chang, Sun Yung A.

AU - Hang, Fengbo

PY - 2022/1

Y1 - 2022/1

N2 - A classical result of Aubin states that the constant in the Moser-Trudinger-Onofri inequality on (Formula presented.) can be improved for functions with zero first-order moments of the area element. We generalize it to the higher-order moments case. These new inequalities bear similarity to a sequence of Lebedev-Milin-type inequalities on (Formula presented.) coming from the work of Grenander-Szego on Toeplitz determinants (as pointed out by Widom). We also discuss the related sharp inequality by a perturbation method.

AB - A classical result of Aubin states that the constant in the Moser-Trudinger-Onofri inequality on (Formula presented.) can be improved for functions with zero first-order moments of the area element. We generalize it to the higher-order moments case. These new inequalities bear similarity to a sequence of Lebedev-Milin-type inequalities on (Formula presented.) coming from the work of Grenander-Szego on Toeplitz determinants (as pointed out by Widom). We also discuss the related sharp inequality by a perturbation method.

UR - http://www.scopus.com/inward/record.url?scp=85092402009&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85092402009&partnerID=8YFLogxK

U2 - 10.1002/cpa.21952

DO - 10.1002/cpa.21952

M3 - Article

AN - SCOPUS:85092402009

VL - 75

SP - 197

EP - 220

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 1

ER -

Improved Moser-Trudinger-Onofri Inequality under Constraints

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this