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

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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:	Publisher
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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