Walsh, David
(2000)
A property of univalent functions in Ap.
Glasgow Mathematical Journal, 42 (1).
pp. 121-124.
ISSN 0017-0895
Abstract
The univalent functions in the diagonal Besov space Ap, where 1 < p < oo, are characterized in terms of the distance from the boundary of a point in the image domain. Here A2 is the Dirichlet space. A consequence is that there exist functions in Ap , p > 2, for which the area of the complement of the image of the unit disc is zero.
| Item Type: |
Article
|
| Keywords: |
property; univalent functions; Ap; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
14717 |
| Depositing User: |
Dr. David Walsh
|
| Date Deposited: |
25 Aug 2021 08:33 |
| Journal or Publication Title: |
Glasgow Mathematical Journal |
| Publisher: |
Cambridge University Press |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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