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Quasiconformal extension of holomorphic mappings of a ball in $C^n$
Author:
J. A. Pfaltzgraff
Journal:
Bull. Amer. Math. Soc. 80 (1974), 543-544
MSC (1970):
Primary 32A10; Secondary 30A36, 30A60
MathSciNet review:
0335843
Full-text PDF
References |
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Additional Information
- 1.
Jochen
Becker, Löwnersche Differentialgleichung und quasikonform
fortsetzbare schlichte Funktionen, J. Reine Angew. Math.
255 (1972), 23–43 (German). MR 0299780
(45 #8828)
- 2.
G.
M. Goluzin, Geometric theory of functions of a complex
variable, Translations of Mathematical Monographs, Vol. 26, American
Mathematical Society, Providence, R.I., 1969. MR 0247039
(40 #308)
- 3.
J. A. Pfaltzgraff, Subordination chains, univalence, and quasi-conformal extension of holomorphic mappings in C (manuscript).
- 4.
Christian
Pommerenke, Über die Subordination analytischer
Funktionen, J. Reine Angew. Math. 218 (1965),
159–173 (German). MR 0180669
(31 #4900)
- 5.
Jussi
Väisälä, Lectures on 𝑛-dimensional
quasiconformal mappings, Lecture Notes in Mathematics, Vol. 229,
Springer-Verlag, Berlin, 1971. MR 0454009
(56 #12260)
- 1.
- J. Becker, Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen, J. Reine Angew. Math. 255 (1972), 23-43. MR 45 #8828. MR 299780
- 2.
- G. M. Goluzin, Geometric theory of functions of a complex variable, GITTL, Moscow, 1952; German transl., VEB Deutscher Verlag, Berlin, 1957; English transl., Transl. Math. Monographs, vol. 26, Amer. Math. Soc. Providence, R.I., 1969. MR 15, 112; 19, 735; 40 #308. MR 247039
- 3.
- J. A. Pfaltzgraff, Subordination chains, univalence, and quasi-conformal extension of holomorphic mappings in C (manuscript).
- 4.
- Ch. Pommerenke, Über die Subordination analytischer Funktionen, J. Reine Angew. Math. 218 (1965), 159-173. MR 31 #4900. MR 180669
- 5.
- J. Väisälä, Lectures on n-dimensional quasiconformal mappings, Lecture Notes in Math., vol. 229, Springer-Verlag, Berlin and New York, 1971. MR 454009
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13488-9
PII:
S 0002-9904(1974)13488-9
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