A note on arclength null quadrature domains
Complex Variables
2022-03-14 v2 Analysis of PDEs
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.
Cite
@article{arxiv.2005.09822,
title = {A note on arclength null quadrature domains},
author = {Dmitry Khavinson and Erik Lundberg},
journal= {arXiv preprint arXiv:2005.09822},
year = {2022}
}
Comments
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