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 ©, Vol. 58, No. 2 (2009).
Bergman versus Szego via conformal mapping / Koenig K.D.; Lanzani L.. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - ELETTRONICO. - 58:2(2009), pp. 969-997. [10.1512/iumj.2009.58.3841]
Bergman versus Szego via conformal mapping
Lanzani L.
2009
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 ©, Vol. 58, No. 2 (2009).File in questo prodotto:
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