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Singular Integral Operators and Related Topics pp 182–203Cite as

Symbol calculus for singular integrals with operator-valued PQC-coefficients

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Part of the book series: Operator Theory Advances and Applications ((OT,volume 90))

Abstract

The symbol calculus for singular integral operators with piecewise continuous coefficients created by Gohberg and Krupnik in the early seventies as well as its generalization to piecewise quasicontinuous coefficients due to Sarason and Silbermann are derived for operators with operator-valued coefficients. The approach is based upon localization techniques in combination with a general two-projections-theorem.

Research supported by a DFG Heisenberg grant

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, D 09107, Chemnitz, Germany

    Torsten Ehrhardt & Bernd Silbermann

  2. Mathematisches Institut, Universität Leipzig, Augustusplatz 10 – 11, D 04109, Leipzig, Germany

    Steffen Roch

Authors
  1. Torsten Ehrhardt
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  2. Steffen Roch
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  3. Bernd Silbermann
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, Tel-Aviv University, Ramat Aviv, Israel

    I. Gohberg

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© 1996 Birkhäuser Verlag, Basel/Switzerland

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Ehrhardt, T., Roch, S., Silbermann, B. (1996). Symbol calculus for singular integrals with operator-valued PQC-coefficients. In: Böttcher, A., Gohberg, I. (eds) Singular Integral Operators and Related Topics. Operator Theory Advances and Applications, vol 90. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9040-3_6

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  • DOI: https://doi.org/10.1007/978-3-0348-9040-3_6

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9881-2

  • Online ISBN: 978-3-0348-9040-3

  • eBook Packages: Springer Book Archive

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