Bergman versus Szego via conformal mapping

Kenneth D. Koenig, Loredana Lanzani

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

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
Volume58
Issue number2
DOIs
StatePublished - Jun 23 2009
Externally publishedYes

Keywords

  • Bergman projection
  • Conformal mapping
  • Szego projection

ASJC Scopus subject areas

  • Mathematics(all)

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