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Continuity of Bergman and Szegö projections on weighted-sup function spaces on pseudoconvex domains

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Abstract.

We study regularity of Bergman and Szegö projections on Sobolev type weighted-sup spaces. The paper covers the case of strongly pseudoconvex domains with C4 boundary and, partially, domains of finite type in the sense of D’Angelo.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, A. Mickiewicz University, ul. Umultowska 87, PL-61–614, Poznań, Poland

    M. Jasiczak

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  1. M. Jasiczak
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Correspondence to M. Jasiczak.

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Received: 6 October 2005

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Jasiczak, M. Continuity of Bergman and Szegö projections on weighted-sup function spaces on pseudoconvex domains. Arch. Math. 87, 436–448 (2006). https://doi.org/10.1007/s00013-006-1747-1

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  • DOI: https://doi.org/10.1007/s00013-006-1747-1

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