MURAL - Maynooth University Research Archive Library



    Boundary smoothness properties of Lipα analytic functions.


    Lord, D.J. and O'Farrell, Anthony G. (1994) Boundary smoothness properties of Lipα analytic functions. Journal d’Analyse Mathématique (63). pp. 103-119. ISSN 1565-8538

    [img]
    Preview
    Download (19MB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    Let U be an open set andb ∈ bdy(U). Let 0 < α< 1. Let A(U) denote the space of Lipα functions that are analytic onU, and a(U) the subspace lipα ∩ A(U). The space a(U ∪b), consisting of the functions that are analytic nearb, is dense in a(U). Letk be a natural number. We say that a(U) admits ak-th order continuous point derivation (cpd) atb if the functionalf → f(k) (b) is continuous on a(U ∪b), with respect to the Lipα norm.

    Item Type: Article
    Additional Information: Cite as: Lord, D.J., O’Farrell, A.G. Boundary smoothness properties of Lipα analytic functions. J. Anal. Math. 63, 103–119 (1994). https://doi-org.jproxy.nuim.ie/10.1007/BF03008420
    Keywords: Lipschitz Norm; Curvilinear Triangle; Point Derivation; Regular Boundary Point; Lipa Function;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 14689
    Identification Number: https://doi.org/10.1007/BF03008420
    Depositing User: Prof. Anthony O'Farrell
    Date Deposited: 11 Aug 2021 13:43
    Journal or Publication Title: Journal d’Analyse Mathématique
    Publisher: Hebrew University Magnes Press
    Refereed: Yes
    URI:

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year