Article ID Journal Published Year Pages File Type
8959469 Journal of Functional Analysis 2018 15 Pages PDF
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.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Analytic content and the isoperimetric inequality in higher dimensions
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