Szego projection versus potential theory for non-smooth planar domains

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We show that the Kerzman-Stein operator associated to a bounded planar domain Ω with C1-boundary is compact in L2(bΩ). We establish the Kerzman-Stein equation for the Szego projection associated to a bounded planar domain with Lipschitz boundary. As an application, we extend to the Lipschitz setting a theorem of S. Bell for representing the solution of the classical Dirichlet problem on a simply connected bounded domain in the complex plane.

Original languageEnglish (US)
Pages (from-to)537-555
Number of pages19
JournalIndiana University Mathematics Journal
Volume48
Issue number2
StatePublished - Jun 1 1999
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Szego projection versus potential theory for non-smooth planar domains'. Together they form a unique fingerprint.

Cite this