On the boundary behavior of a conformal map
HTML articles powered by AMS MathViewer
- by J. L. Walsh and L. Rosenfeld PDF
- Trans. Amer. Math. Soc. 81 (1956), 49-73 Request permission
References
-
C. Carathéodory, Conformal representation, Cambridge University Press, 1932.
- J. L. Walsh, On distortion at the boundary of a conformal map, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 152–156. MR 33881, DOI 10.1073/pnas.36.2.152
- Jacqueline Lelong-Ferrand, Sur la représentation conforme des bandes, J. Analyse Math. 2 (1952), 51–71 (French, with Hebrew summary). MR 53237, DOI 10.1007/BF02786967
- S. E. Warschawski, On conformal mapping of infinite strips, Trans. Amer. Math. Soc. 51 (1942), 280–335. MR 6583, DOI 10.1090/S0002-9947-1942-0006583-6
- Alexander Ostrowski, Über den Habitus der konformen Abbildung am Rande des Abbildungsbereiches, Acta Math. 64 (1935), no. 1, 81–184 (German). MR 1555398, DOI 10.1007/BF02545670 C. Gattegno and A. Ostrowski, Représentation conforme à la frontière: domaines généraux; domaines particuliers, Mémorial des Sci. Math., nos. 109 and 110, Paris, 1949.
- Jacqueline Ferrand, Étude de la représentation conforme au voisinage de la frontière, Ann. Sci. École Norm. Sup. (3) 59 (1942), 43–106 (French). MR 0011728
- Jacqueline Ferrand, Nouvelle démonstration d’un théorème de M. Ostrowski, C. R. Acad. Sci. Paris 220 (1945), 550–551 (French). MR 13412
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 81 (1956), 49-73
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9947-1956-0076037-X
- MathSciNet review: 0076037