article

Title: Bergman versus Szego via conformal mapping

Authors: Kenneth D. Koenig and Loredana Lanzani

Issue: Volume 58 (2009), Issue 2, 969-998

Abstract:

$We compare the Bergman and Szeg\H{o} projections associated to bounded, simply connected planar domains with H\"{o}lder continuous boundary. It is shown that their difference gains a derivative in an appropriate range of Sobolev or Lipschitz norms.$