Diameter problems for univalent functions with quasiconformal extension
This paper utilizes the method of extremal length to study several diameter problems for functions conformal outside of a disc centered at the origin, with a standard normalization, which possess a quasiconformal extension to a ring subdomain of this disc. Known results on the diameter of a compleme...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000857 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper utilizes the method of extremal length to study several diameter problems
for functions conformal outside of a disc centered at the origin, with a standard normalization,
which possess a quasiconformal extension to a ring subdomain of this disc. Known results on the
diameter of a complementary component of the image domain of a univalent function are extended.
Applications to the transfinite diameters of families of non-overlapping functions and an extension
of the Koebe one-quarter theorem are included. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |