A note on arclength null quadrature domains

A note on arclength null quadrature domains

We prove the existence of a roof function for arclength null quadrature domains (arclength NQDs) having finitely many boundary components. This bridges a gap toward classification of arclength NQDs by removing an a priori assumption from previous classification results.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2022-02, Vol.54 (1), p.275-284
Hauptverfasser: Khavinson, Dmitry, Lundberg, Erik
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove the existence of a roof function for arclength null quadrature domains (arclength NQDs) having finitely many boundary components. This bridges a gap toward classification of arclength NQDs by removing an a priori assumption from previous classification results.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms.12615