Radial variation in some function spaces

Walsh, David (2009) Radial variation in some function spaces. Journal of Function Spaces and Applications , 7 (1). pp. 25-32. ISSN 2090-8997

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In a previous paper [8] we considered properties of the radial variation of analytic functions in a class of Besov spaces As pq , s > 0. Here we wish to extend these results to certain related spaces. These are the Lipschitz classes Λs and the mean Lipschitz classes Λp,s where p ≥ 1, 0 < s < 1. We also consider A0 pq, where s = 0, although the results obtained for these are not as good as when s > 0.

Item Type: Article
Keywords: Radial variation; Besov space; Lipschitz space;
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 3671
Depositing User: Dr. David Walsh
Date Deposited: 22 May 2012 11:45
Journal or Publication Title: Journal of Function Spaces and Applications
Publisher: Hindawi Publishing Corporation
Refereed: Yes

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