Skip to main content
SpringerLink
Log in

Regularity of a boundary having a Schwarz function

  • Published:
Acta Mathematica

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. Ahlfors, L. V. &Sario, L.,Riemann Surfaces. Princeton Univ. Press, Princeton, 1960.

    MATH  Google Scholar 

  2. Caffarelli, L. A. &Rivière, N. M., Smoothness and analyticity of free boundaries in variational inequalities.Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 3 (1976), 289–310.

    MATH  MathSciNet  Google Scholar 

  3. — Asymptotic behaviour of free boundaries at their singular points.Ann. of Math. (2), 106 (1977), 309–317.

    Article  MATH  MathSciNet  Google Scholar 

  4. Collingwood, E. F. &Lohwater, A. J.,The Theory of Cluster Sets. Cambridge Univ. Press, Cambridge, 1966.

    MATH  Google Scholar 

  5. Davis, P. J.,The Schwarz Function, and its Applications. Carus Math. Monographs, No. 17. Math. Assoc. America, Washington, D.C., 1974.

    MATH  Google Scholar 

  6. Fuchs, W. H. J., A Phragmén-Lindelöf theorem conjectured, by D. J. Newman.Trans. Amer. Math. Soc., 267 (1981), 285–293.

    Article  MATH  MathSciNet  Google Scholar 

  7. Nevanlinna, R.,Eindeutige analytische Funktionen. 2nd ed., Springer, Berlin, 1953.

    Google Scholar 

  8. Sario, L. &Nakai, M.,Classification Theory of Riemann Surfaces. Springer, Berlin, 1970.

    MATH  Google Scholar 

  9. Schaeffer, D. G., Some examples of singularities in a free boundary.Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 4 (1977), 133–144.

    MATH  MathSciNet  Google Scholar 

  10. Shapiro, H. S., Unbounded quadrature domains. InComplex Analysis Vol. I Lecture Notes in Math. Vol. 1275. Springer, Berlin, 1987, pp. 287–331.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tokyo Metropolitan University, Tokyo, Japan

    Makoto Sakai

Authors
  1. Makoto Sakai
    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

Sakai, M. Regularity of a boundary having a Schwarz function. Acta Math 166, 263–297 (1991). https://doi.org/10.1007/BF02398888

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02398888

Keywords

Search

Navigation