Skip to main content
SpringerLink
Log in

Über die Lösbarkeit der\(\bar \partial \)-Gleichung auf Ringgebieten mit Hilfe vonL P,C k- undD′-stetigen Integraloperatoren

  • 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

Literatur

  1. Andreotti, A., Grauert, H.: Theoremes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France90, 193–259 (1962)

    Google Scholar 

  2. Bungart, L.: Holomorphic functions with values in locally convex spaces and applications to integral formulas. Trans. Amer. Math. Soc.111, 314–344 (1964)

    Google Scholar 

  3. Grothendieck, A.: Sur certains espaces de fonctions holomorphes I. J. Reine Angew. Math.192, 35–64 (1953)

    Google Scholar 

  4. Folland, G. B., Kohn, J. J.: The Neumann-problem for the Cauchy-Riemann complex. Ann. Math. Studies75. Princeton 1972

  5. Henkin, G. M.: Integral representation of functions in strictly pseudoconvex domains and applications to the\(\bar \partial \)-Problem. Math. USSR Sb.11, 273–281 (1970)

    Google Scholar 

  6. Hörmander, L.: An introduction to complex analysis in several variables. Princeton 1966

  7. Hörmander, L.:L 2-estimates and existence theorems for the\(\bar \partial \)-operator. Acta Math.113, 89–152 (1965)

    Google Scholar 

  8. Kerzman, N.: Hölder andL p-estimates for solutions of ∂u=f in strongly pseudoconvex domains. Comm. Pure Appl. Math.24, 137–160 (1971)

    Google Scholar 

  9. Lieb, I.: Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudoconvexen Gebieten. Math. Ann.190, 6–44 (1970)

    Google Scholar 

  10. Øvrelid, N.: Integral representation formulas andL p-estimate for the\(\bar \partial \)-equation. Math. Scand.29, 137–160 (1971)

    Google Scholar 

  11. Palamodov, V. P.: On a Stein manifold the Dolbeault complex splits in all positive dimensions. Math. USSR Sb.17, 189–216 (1972)

    Google Scholar 

  12. Pflug, P.: Über polynomiale Funktionen auf Holomorphiegebieten. Math. Z.139, 133–139 (1974)

    Google Scholar 

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

    Google Scholar 

  14. 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 (1974)

    Google Scholar 

  15. Siu, Y. T., Trautmann, G.: Gap sheaves and extensions of coherent analytic subsheaves. Springer Lecture Notes 172. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  16. Treves, F.: Topological vector spaces, distributions and kernels. New York 1967

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Pfaffenbergstr. 95, D-6750, Kaiserslautern, Bundesrepublik Deutschland

    Michael Hortmann

Authors
  1. Michael Hortmann
    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

Hortmann, M. Über die Lösbarkeit der\(\bar \partial \)-Gleichung auf Ringgebieten mit Hilfe vonL P,C k- undD′-stetigen Integraloperatoren. Math. Ann. 223, 139–156 (1976). https://doi.org/10.1007/BF01360878

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360878

Search

Navigation