Limit of fractional power Sobolev inequalities

Sun Yung Alice Chang; Fang Wang

doi:10.1016/j.jfa.2017.08.022

Limit of fractional power Sobolev inequalities

Sun Yung Alice Chang, Fang Wang

Mathematics

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

5 Scopus citations

Abstract

We derive the Moser–Trudinger–Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.

Original language	English (US)
Pages (from-to)	1177-1201
Number of pages	25
Journal	Journal of Functional Analysis
Volume	274
Issue number	4
DOIs	https://doi.org/10.1016/j.jfa.2017.08.022
State	Published - Feb 15 2018

All Science Journal Classification (ASJC) codes

Analysis

Keywords

Moser–Trudinger–Onofri inequality
Sobolev inequality

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10.1016/j.jfa.2017.08.022

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title = "Limit of fractional power Sobolev inequalities",

abstract = "We derive the Moser–Trudinger–Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.",

keywords = "Moser–Trudinger–Onofri inequality, Sobolev inequality",

author = "Chang, {Sun Yung Alice} and Fang Wang",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2018",

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day = "15",

doi = "10.1016/j.jfa.2017.08.022",

language = "English (US)",

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journal = "Journal of Functional Analysis",

issn = "0022-1236",

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T1 - Limit of fractional power Sobolev inequalities

AU - Chang, Sun Yung Alice

AU - Wang, Fang

PY - 2018/2/15

Y1 - 2018/2/15

N2 - We derive the Moser–Trudinger–Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.

AB - We derive the Moser–Trudinger–Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.

KW - Moser–Trudinger–Onofri inequality

KW - Sobolev inequality

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UR - http://www.scopus.com/inward/citedby.url?scp=85028806092&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2017.08.022

DO - 10.1016/j.jfa.2017.08.022

M3 - Article

AN - SCOPUS:85028806092

SN - 0022-1236

VL - 274

SP - 1177

EP - 1201

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

ER -

Limit of fractional power Sobolev inequalities

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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