Skip to main content
SpringerLink
Log in

The kernel of the\(\bar \partial \)-Neumann operator on strictly pseudoconvex domains

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Beals, R., Greiner, P., Stanton, N.:L p and Lipschitz estimates for the\(\bar \partial \)-equation and the\(\bar \partial \)-Neumann problem. Preprint (1986)

  2. Catlin, D.: Necessary conditions for subellipticity of the\(\bar \partial \)-Neumann problems. Ann. Math.117, 147–171 (1983)

    Google Scholar 

  3. Catlin, D.: Subelliptic estimates for the\(\bar \partial \)-Neumann problem on pseudoconvex domains. Preprint (1986)

  4. Grauert, H., Lieb, I.: Das Ramirezsche Integral und die Lösung der Gleichung\(\bar \partial \) f = α im Bereich der beschränkten Formen. Rice Univ. Stud.56, 29–50 (1970)

    Google Scholar 

  5. Greiner, P., Stein, E.M.: Estimates for the\(\bar \partial \)-Nuemann problem. Princeton: Princeton University Press 1977

    Google Scholar 

  6. Henkin, G.M.: Integral representations in strictly pseudoconvex domains and applications to the\(\bar \partial \)-problem. Mat. Sb.82, 300–308 (1970); Math. USSR Sb.11, 273–281 (1970)

    Google Scholar 

  7. Kohn, J.J.: Harmonic integrals on strongly pseudoconvex manifolds. I. Ann. Math.78, 112–148 (1963); II. Ann. Math.79 450–472 (1964)

    Google Scholar 

  8. Kohn, J.J.: Subellipticity of the\(\bar \partial \)-Nuemann problem on pseudoconvex domains: sufficient conditions. Acta Math.142, 79–122 (1979)

    Google Scholar 

  9. Lieb, I., Range, R.M.: On integral representations and a priori Lipschitz estimates for the canonical solution of the\(\bar \partial \)-equation. Math. Ann.265, 221–251 (1983)

    Google Scholar 

  10. Lieb, I., Range, R.M.: Integral representations and estimates in the theory of the\(\bar \partial \)-Neumann problem. Ann. Math.123, 265–301 (1986)

    Google Scholar 

  11. Lieb, I., Range, R.M.: Estimates for a class of integral operators and applications to the\(\bar \partial \)-Neumann problem. Invent. math.85, 415–438 (1986)

    Google Scholar 

  12. Phong, D.H., Stein, E.M.: Hilbert integrals, singular integrals, and Radon transforms. I. Acta Math.157, 99–157 (1986). II. Invent. Math.86, 75–113 (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, D-5300, Bonn 1, Federal Republic of Germany

    Ingo Lieb

  2. Department of Mathematics and Statistics, SUNY at Albany, 12222, Albany, NY, USA

    R. Michael Range

Authors
  1. Ingo Lieb
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Michael Range
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Friedrich Hirzebruch zum sechzigsten Geburtstag gewidmet

Partially supported by NSF grant DMS 8501342 and the Max-Planck-Institut für Mathematik in Bonn

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lieb, I., Range, R.M. The kernel of the\(\bar \partial \)-Neumann operator on strictly pseudoconvex domains. Math. Ann. 278, 151–173 (1987). https://doi.org/10.1007/BF01458065

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458065

Keywords

Search

Navigation