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Lp-Estimates with Loss for the Bergman Projection and the Canonical Solution to ∂̄

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Complex Analysis

Part of the book series: Aspects of Mathematics ((ASMA,volume 1))

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Abstract

The aim of this note is to show that, in pseudo-convex domains, the Bergman projection and the canonical solution to the ∂̄-equation satisfy L p estimates with loss: for p > 2, there exists q = q(p) > 2 so that the solution is in L p when the data is in L p.

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Bibliography

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Université d’Orléans, BP 6759, 45067, Orleans Cedex 2, France

    Aline Bonami

Authors
  1. Aline Bonami
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Bergische Universität Gesamthochschule Wuppertal, Germany

    Klas Diederich

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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Bonami, A. (1991). Lp-Estimates with Loss for the Bergman Projection and the Canonical Solution to ∂̄. In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_9

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  • DOI: https://doi.org/10.1007/978-3-322-86856-5_9

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-86858-9

  • Online ISBN: 978-3-322-86856-5

  • eBook Packages: Springer Book Archive

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