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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: | 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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/14689 |
| 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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