Analytic content and the isoperimetric inequality in higher dimensions

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Title: Analytic content and the isoperimetric inequality in higher dimensions
Authors: Gardiner, Stephen J.Ghergu, MariusSjödin, Tomas
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Date: 1-Nov-2018
Online since: 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
Keywords: Analytic contentHarmonic vector fieldsIsoperimetric inequalityOptimal transport
DOI: 10.1016/j.jfa.2018.08.004
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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