Skip to main content
SpringerLink
Log in

Uniform estimates for\(\bar \partial \) on the intersection of two strictly pseudoconvexC 2-domains without transversality condition

  • 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. Grauert, H., Lieb, I.: Das Ramirezsche Integral und die Lösung der Gleichung\(\bar \partial \) f=α im Bereich der beschränkten Formen. Proc. Conf. Complex Analysis, Rice Univ., 1969. Rice Univ. Studies56, No. 2, 29–50 (1970)

    Google Scholar 

  2. Henkin, G.M.: Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications (russ). Math. Sb.78, 611–632 (1969); English Math. USSR Sb.7, 597–616 (1969)

    Google Scholar 

  3. Henkin, G.M.: Integral representations of functions in strictly pseudoconvex domains and applications to the\(\bar \partial \)-problem (russ.). Math. Sb.82(124), 300–308 (1970); English Math. USSR Sb.11, 273–281 (1970)

    Google Scholar 

  4. Henkin, G.M., Leiterer, J.: Theory of functions on complex manifolds. Berlin: Akademie-Verlag 1984

    Google Scholar 

  5. Milnor, J.: Lectures on theh-cobordism theorem. Princeton: Princeton University Press 1965

    Google Scholar 

  6. Poljakov, P.L.: Banach cohomology on piecewise strictly pseudoconvex domains (russ.). Math. Sb.88, 238–255 (1972); English: Math. USSR Sb.17, 237–256 (1972)

    Google Scholar 

  7. Ramirez de Arellano, E.: Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis. Math. Ann.184, 172–187 (1970)

    Google Scholar 

  8. Range, R.M., Siu, Y.-T.: Uniform estimates for the\(\bar \partial \)-equation on domains with piecewise smooth strictly pseudoconvex boundaries. Math. Ann.206, 325–354 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Karl-Weierstrass-Institut für Mathematik, Akademie der Wissenschaften der DDR, Mohrenstrasse 39, DDR-1086, Berlin, German Democratic Republic

    K. Peters

Authors
  1. K. Peters
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peters, K. Uniform estimates for\(\bar \partial \) on the intersection of two strictly pseudoconvexC 2-domains without transversality condition. Math. Ann. 284, 409–421 (1989). https://doi.org/10.1007/BF01442493

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01442493

Keywords

Search

Navigation