Skip to main content
SpringerLink
Log in

Global regularity of the\(\bar \partial \)-Neumann problem on circular 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. Catlin, D.: Necessary conditions for subellipticity of the\(\bar \partial \)-Neumann problem. Ann. Math.117, 147–171 (1983)

    Google Scholar 

  2. Catlin, D.: Subelliptic estimates for the\(\bar \partial \)-Neumann problem on pseudoconvex domains. Ann. Math.126, 131–191 (1987)

    Google Scholar 

  3. Catlin, D.: Global regularity of the\(\bar \partial \)-Neumann problem. Proc. Sympos. Pure Math.41, Amer. Math. Soc., Providence, R.I. (1984)

    Google Scholar 

  4. Chen, S.C.: Regularity of the Bergman projection on domains with partial transverse symmetries. Math. Ann.277, 135–140 (1987)

    Google Scholar 

  5. Chen, S.C.: Global analytic hypoellipticity of the\(\bar \partial \)-Neumann problem on circular domains. Invent. Math.92, 173–185 (1988)

    Google Scholar 

  6. Chen, S.C.: Global real analyticity of solutions to the\(\bar \partial \)-Neumann problem on Reinhardt domains. Indiana Univ. Math. J.37, 421–430 (1988)

    Google Scholar 

  7. D'angelo, J.: Real hypersurfaces, order of contact, and applications. Ann. Math.115, 615–637 (1982)

    Google Scholar 

  8. Folland, G.B., Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex. Ann. Math. Studies,75, Princeton: Princeton University Press 1972

    Google Scholar 

  9. Hörmander, L.:L 2 estimates and existence theorems for the\(\bar \partial \) operator. Acta Math.113, 89–152 (1963)

    Google Scholar 

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

    Google Scholar 

  11. Kohn, J.J.: Boundary behavior of\(\bar \partial \) on weakly pseudoconvex manifolds of dimension two. J. Differ. Geom.6, 523–542 (1972)

    Google Scholar 

  12. Kohn, J.J.: Subellipticity of the\(\bar \partial \)-Neumann problem on pseudo-convex domains: sufficient conditions. Acta Math.142, 79–122 (1979)

    Google Scholar 

  13. Kohn, J.J., Nirenberg, L.: Non-coercive boundary value problems. Commun. Pure Appl. Math.18, 443–492 (1965)

    Google Scholar 

  14. Sibony, N.: Un example de domaine pseudoconvexe regulier où l'équation\(\bar \partial u = f\) n'admet pas de solution bornée pourf bornée. Invent. Math.62, 235–242 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    So-Chin Chen

Authors
  1. So-Chin Chen
    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

Chen, SC. Global regularity of the\(\bar \partial \)-Neumann problem on circular domains. Math. Ann. 285, 1–12 (1989). https://doi.org/10.1007/BF01442668

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01442668

Keywords

Search

Navigation