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Compactness of the \(\bar{\partial}\)-Neumann Operator on Weighted (0, q)-forms

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Book cover Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 221))

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Abstract

As an application of a characterization of compactness of the \(\bar{\partial}\)-Neumann operator we derive a sufficient condition for compactness of the \(\bar{\partial}\)-Neumann operator on (0, q)-forms in weighted L 2-spaces on ℂn.

Mathematics Subject Classification (2000). Primary 32W05; Secondary 32A36. 35J10.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Wien, Nordbergstr. 15, A-1090, Wien, Austria

    Friedrich Haslinger

Authors
  1. Friedrich Haslinger
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Correspondence to Friedrich Haslinger .

Editor information

Editors and Affiliations

  1. , Abt. Mathematik V, Universität Ulm, Ulm, 89069, Germany

    Wolfgang Arendt

  2. Department of Mathematics, Virginia Polytechnic Institute, McBryde Hall 524, Blacksburg, 24061, Virginia, USA

    Joseph A. Ball

  3. Institut für Mathematik, AG Modellierung, Numerik und, TU Berlin, Straße des 17 Juni 136, Berlin, 10623, Berlin, Germany

    Jussi Behrndt

  4. Fak. II Mathematik & Naturwissenschaften, Institut für Mathematik, TU Berlin, Straße des 17. Juni 136, Berlin, 10623, Berlin, Germany

    Karl-Heinz Förster

  5. Fak. II Mathematik & Naturwissenschaften, Institut für Mathematik, TU Berlin, Straße des 17. Juni 136, Berlin, 10623, Berlin, Germany

    Volker Mehrmann

  6. , Institut für Mathematik, TU Ilmenau, Weimarer Str. 25, Ilmenau, 98693, Thüringen, Germany

    Carsten Trunk

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Haslinger, F. (2012). Compactness of the \(\bar{\partial}\)-Neumann Operator on Weighted (0, q)-forms. In: Arendt, W., Ball, J., Behrndt, J., Förster, KH., Mehrmann, V., Trunk, C. (eds) Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Operator Theory: Advances and Applications, vol 221. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0297-0_22

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