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Analytic content and the isoperimetric inequality in higher dimensions
Author(s)
Date Issued
2018-11-01
Date Available
2019-12-09T16:45:31Z
Abstract
This paper establishes a conjecture of Gustafsson and Khavinson, which relates the analytic content of a smoothly bounded domain in RN to the classical isoperimetric inequality. The proof is based on a novel combination of partial balayage with optimal transport theory.
Type of Material
Journal Article
Publisher
Elsevier
Journal
Journal of Functional Analysis
Volume
275
Issue
9
Start Page
2284
End Page
2298
Copyright (Published Version)
2018 Elsevier
Language
English
Status of Item
Peer reviewed
ISSN
0022-1236
This item is made available under a Creative Commons License
File(s)
No Thumbnail Available
Name
AnalyticContent14.pdf
Size
288.89 KB
Format
Adobe PDF
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