Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8959469 | Journal of Functional Analysis | 2018 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Stephen J. Gardiner, Marius Ghergu, Tomas Sjödin,