Skip to main content
SpringerLink
Log in

The\(\overline \partial\) problem with uniform bounds on derivatives

  • 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\(\overline \partial\) f=a im Bereich der beschränkten Formen. Complex Analysis (Proc. Conf. Rice Univ., Houston, Texas, 1969), Rice University Studies Vol.56, No. 2, Rice University, Houston, Tex., 1970, pp. 29–50

    Google Scholar 

  2. Henkin, G. M.: Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications. Mat. Sb.78 (120), 611–632 (1969); Math. USSR Sb.7, 597–616 (1969)

    MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

  4. Henkin, G. M., Romanov, A. V.: Exact Hölder estimates of solutions of the\(\overline \partial\)-equation. Izvestijy Akad. SSSR, Ser. Mat.35, 1171–1183 (1971) (Russian)

    MATH  MathSciNet  Google Scholar 

  5. Kerzman, N.: Hölder andL p estimates for solutions of\(\overline \partial\) u=f in strongly pseudoconvex domains. Comm. Pure Appl. Math.24, 301–379 (1971)

    Article  MathSciNet  Google Scholar 

  6. Ramirez de Arellano, E.: Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis. Math. Ann.184, 172–187 (1969/70)

    Article  MathSciNet  Google Scholar 

  7. Range, R. M., Siu, Y.-T.: Uniform estimates for the\(\overline \partial\) equation on domains with piecewise smooth strictly pseudoconvex boundaries. Math. Ann. (to appear)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Yale University, 06520, New Haven, Connecticut, USA

    Yum-Tong Siu

Authors
  1. Yum-Tong Siu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research partially supported by a National Science Foundation Grant and a Sloan Fellowship.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Siu, YT. The\(\overline \partial\) problem with uniform bounds on derivatives. Math. Ann. 207, 163–176 (1974). https://doi.org/10.1007/BF01362154

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01362154

Keywords

Search

Navigation