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An Analogue of the Kerzman-Stein Formula for the Bergman and Szegö Projections

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Abstract

We show that the difference between the Bergman and Szegö projections on a smooth, bounded planar domain gains a derivative in the L p-Sobolev and Lipschitz spaces.

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Correspondence to Kenneth D. Koenig.

Additional information

Communicated by Jeffery McNeal.

Research supported in part by NSF Grant DMS-0457500.

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Koenig, K.D. An Analogue of the Kerzman-Stein Formula for the Bergman and Szegö Projections. J Geom Anal 19, 81–86 (2009). https://doi.org/10.1007/s12220-008-9051-x

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  • DOI: https://doi.org/10.1007/s12220-008-9051-x

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