Analytic content and the isoperimetric inequality in higher dimensions

Gardiner, Stephen J.; Ghergu, Marius; Sjödin, Tomas

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Analytic content and the isoperimetric inequality in higher dimensions

Gardiner, Stephen J.

Univ Coll Dublin, Ireland.

Ghergu, Marius

Univ Coll Dublin, Ireland.

Sjödin, Tomas

Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.

2018 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 275, no 9, p. 2284-2298Article in journal (Refereed) Published

Abstract [en]

This paper establishes a conjecture of Gustafsson and Khavinson, which relates the analytic content of a smoothly bounded domain in R-N to the classical isoperimetric inequality. The proof is based on a novel combination of partial balayage with optimal transport theory. (C) 2018 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages

ACADEMIC PRESS INC ELSEVIER SCIENCE , 2018. Vol. 275, no 9, p. 2284-2298

Keywords [en]

Analytic content; Harmonic vector fields; Isoperimetric inequality; Optimal transport

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Mathematical Analysis

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URN: urn:nbn:se:liu:diva-151628DOI: 10.1016/j.jfa.2018.08.004ISI: 000444222300002OAI: oai:DiVA.org:liu-151628DiVA, id: diva2:1254395

Available from: 2018-10-09 Created: 2018-10-09 Last updated: 2018-10-09

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Ghergu, Marius

Sjödin, Tomas

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