MURAL - Maynooth University Research Archive Library



    A property of univalent functions in Ap


    Walsh, David (2000) A property of univalent functions in Ap. Glasgow Mathematical Journal, 42 (1). pp. 121-124. ISSN 0017-0895

    [img]
    Preview
    Download (3MB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    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:

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year