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