A note on arclength null quadrature domains
arXiv:2005.09822 · doi:10.1112/blms.12615
Abstract
We prove the existence of a roof function for arclength null quadrature domains having finitely many boundary components. This bridges a gap toward classification of arclength null quadrature domains by removing an a priori assumption from previous classification results.
11 pages, 1 figure. In this version, the proof of Theorem 2.2 has been revised along with some additional revisions. The paper will appear in The Bulletin of the London Mathematical Society