Bergman versus Szego via conformal mapping

Kenneth D. Koenig, Loredana Lanzani

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We compare the Bergman and Szego projections associated to bounded, simply connected planar domains with Holder continuous boundary. It is shown that their difference gains a derivative in an appropriate range of Sobolev or Lipschitz norms. Indiana University Mathematics Journal

Original languageEnglish (US)
Pages (from-to)969-997
Number of pages29
JournalIndiana University Mathematics Journal
Issue number2
StatePublished - 2009
Externally publishedYes


  • Bergman projection
  • Conformal mapping
  • Szego projection

ASJC Scopus subject areas

  • General Mathematics


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