Geodesic
Covering Theorems for Univalent Functions Mapping onto Domains Bounded by Quasiconformal Circles
Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 627-631

Voir la notice de l'article provenant de la source Cambridge University Press

Let Γ be a Jordan curve in the extended complex plane C. Γ is called a quasiconformal circle if it is the image of a circle by a homeomorphism ƒ which is quasiconformal in a neighborhood of that circle. If q(zi, z2) is the chordal distance from z1 to z2, the chordal cross ratio of a quadruple z1, z2, z3, z4 in C is 
Blevins, Donald K. Covering Theorems for Univalent Functions Mapping onto Domains Bounded by Quasiconformal Circles. Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 627-631. doi: 10.4153/CJM-1976-061-8
@article{10_4153_CJM_1976_061_8,
     author = {Blevins, Donald K.},
     title = {Covering {Theorems} for {Univalent} {Functions} {Mapping} onto {Domains} {Bounded} by {Quasiconformal} {Circles}},
     journal = {Canadian journal of mathematics},
     pages = {627--631},
     year = {1976},
     volume = {28},
     number = {3},
     doi = {10.4153/CJM-1976-061-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-061-8/}
}
TY  - JOUR
AU  - Blevins, Donald K.
TI  - Covering Theorems for Univalent Functions Mapping onto Domains Bounded by Quasiconformal Circles
JO  - Canadian journal of mathematics
PY  - 1976
SP  - 627
EP  - 631
VL  - 28
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-061-8/
DO  - 10.4153/CJM-1976-061-8
ID  - 10_4153_CJM_1976_061_8
ER  - 
%0 Journal Article
%A Blevins, Donald K.
%T Covering Theorems for Univalent Functions Mapping onto Domains Bounded by Quasiconformal Circles
%J Canadian journal of mathematics
%D 1976
%P 627-631
%V 28
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-061-8/
%R 10.4153/CJM-1976-061-8
%F 10_4153_CJM_1976_061_8

[1] 1. Aharanov, D. and Kirwan, W. E., Covering theorems for classes of univalent functions, Can. J. Math. 25 (1973), 412–419. Google Scholar

[2] 2. Ahlfors, L. V., Quasiconformal reflections, Acta Math. 109 (1963), 291–301. Google Scholar

[3] 3. Blevins, D. K., Conformai mappings of domains hounded by quasiconformal circles, Duke Math. J. 40 (1973), 877–883. Google Scholar

[4] 4. Blevins, D. K., Harmonic measure and domains bounded by quasiconformal circles, Proc. Am. Math. Soc. 41 (1973), 559–564. Google Scholar

[5] 5. Hayman, W. K., Multivalent functions (Cambridge University Press, Cambridge, 1958). Google Scholar

[6] 6. Jenkins, J. A., Some uniqueness results in the theory of symmetrization, Ann. of Math. (2) 61 (1955), 106–115. Google Scholar

[7] 7. Lehto, O. and Virtanen, K. I., Quasiconformal mappings in the plane (Springer-Verlag, Berlin, 1973). Google Scholar

Cité par Sources :