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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Some inequalities relating to conformal mapping upon canonical slit-domains


Author: Bernard Epstein
Journal: Bull. Amer. Math. Soc. 53 (1947), 813-819
MathSciNet review: 0022259
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. S. Bergman, Partial differential equations, advanced topics, Brown University, Providence, 1941.
  • 2. Stefan Bergman, A remark on the mapping of multiply-connected domains, Amer. J. Math. 68 (1946), 20–28. MR 0014439 (7,286a)
  • 3. L. Bieberbach, Lehrbuch der Funktionentheorie, vol. 2, 4th ed., 1934, pp. 72-74.
  • 4. H. Grötzsch, Über das Parallelschlitztheorem der konformen Abbildung schlichter Bereiche, Berichte Verhandlungen Sächsischen Akademie Leipzig vol. 84 (1932) pp. 15-36.
  • 5. H. Grunsky, Neue Abschätzungen zur konformen Abbildung ein- und mehrfach zusammenhangenden Bereiche, Schriften des Mathematischen Seminars der University Berlin vol. 1 (1932) pp. 94-140.
  • 6. Helmut Grunsky, Koeffizientenbedingungen für schlicht abbildende meromorphe Funktionen, Math. Z. 45 (1939), no. 1, 29–61 (German). MR 1545803, http://dx.doi.org/10.1007/BF01580272
  • 7. R. de Possel, Sur quelques propriétés de la représentation conforme des domains multiplement connexes, en relation avec le théorème des fentes parallèles, Math. Ann. vol. 107 (1932) pp. 496-504.
  • 8. Menahem Schiffer, The span of multiply connected domains, Duke Math. J. 10 (1943), 209–216. MR 0008259 (4,271a)
  • 9. Menahem Schiffer, The kernel function of an orthonormal system, Duke Math. J. 13 (1946), 529–540. MR 0019115 (8,371a)
  • 10. Menahem Schiffer, An application of orthonormal functions in the theroy of conformal mapping, Amer. J. Math. 70 (1948), 147–156. MR 0023339 (9,341d)


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1947-08895-9
PII: S 0002-9904(1947)08895-9



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