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On the derivative of the Riemann mapping function near a boundary point and the Visser-Ostrowski problem

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References

  1. Campbell, D.M., Pfalzgraff, J.A.: Boundary behavior and linear-invariant families. J. Analyse Math.29, 67–92 (1976)

    Google Scholar 

  2. Lelong-Ferrand, J.: Représentation conforme et transformations à intégrale de Dirichlet bornée. Paris: Gauthier-Villars 1955

    Google Scholar 

  3. Ostrowski, A.: Über den Habitus der konformen Abbildung am Rande des Abbildungsbereiches. Acta Math.64, 81–184 (1934)

    Google Scholar 

  4. Ostrowski, A.: Zur Randverzerrung bei konformer Abbildung. Prace Mat. Fiz.44, 371–471 (1936)

    Google Scholar 

  5. Pommerenke, Ch.: On univalent functions, Bloch functions and VMOA. Math. Ann.236, 199–208 (1978)

    Google Scholar 

  6. Pommerenke, Ch.: Linear-invariante Familien analytischer Funktionen II. Math. Ann.156, 226–262 (1967)

    Google Scholar 

  7. Rodin, B., Warschawski, S.E.: On conformal mapping ofL-strips. J. London Math. Soc.11, 301–307 (1975)

    Google Scholar 

  8. Rodin, B., Warschawski, S.E.: Estimates for conformal maps of strip domains without boundary regularity. Proc. London Math. Soc.39, 356–384 (1979)

    Google Scholar 

  9. Visser, C.: Über beschränkte analytische Funktionen und die Randverhältnisse bei konformen Abbildungen. Math. Ann.107, 28–39 (1933)

    Google Scholar 

  10. Walsh, J.L., Gaier, D.: Zur Methode der variablen Gebiete bei der Randverzerrung. Arch. Math.6, 77–86 (1955)

    Google Scholar 

  11. Warschawski, S.E.: On conformal mapping of infinite strips. Trans. Amer. Math. Soc.51, 280–335 (1942)

    Google Scholar 

  12. Yamashita, S.: A univalent function nowhere semiconformal on the unit circle. Proc. Amer. Math. Soc.69, 85–86 (1978)

    Google Scholar 

  13. Yamashita, S.: Conformality and semiconformality of a function holomorphic in the disk. Trans. Amer. Math. Soc.245, 119–138 (1979)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California, 92093, La Jolla, CA, USA

    Burton Rodin & S. E. Warschawski

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  1. Burton Rodin
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  2. S. E. Warschawski
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This research was supported, in part, by the National Science Foundation

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Rodin, B., Warschawski, S.E. On the derivative of the Riemann mapping function near a boundary point and the Visser-Ostrowski problem. Math. Ann. 248, 125–137 (1980). https://doi.org/10.1007/BF01421953

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