Bergman versus Szego via conformal mapping

Kenneth D. Koenig; Loredana Lanzani

doi:10.1512/iumj.2009.58.3841

Bergman versus Szego via conformal mapping

Kenneth D. Koenig, Loredana Lanzani

Research output: Contribution to journal › Article › peer-review

4 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 language	English (US)
Pages (from-to)	969-997
Number of pages	29
Journal	Indiana University Mathematics Journal
Volume	58
Issue number	2
DOIs	https://doi.org/10.1512/iumj.2009.58.3841
State	Published - 2009
Externally published	Yes

Keywords

Bergman projection
Conformal mapping
Szego projection

ASJC Scopus subject areas

General Mathematics

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10.1512/iumj.2009.58.3841

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title = "Bergman versus Szego via conformal mapping",

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",

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volume = "58",

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KW - Conformal mapping

KW - Szego projection

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Bergman versus Szego via conformal mapping

Abstract

Keywords

ASJC Scopus subject areas

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