Radial variation in some function spaces (Q1022912)

Summary: In a previous paper [\textit{D. Walsh}, Publ. Mat., Barc. 50, No. 2, 371--399 (2006; Zbl 1117.46020)] we considered properties of the radial variation of analytic functions in a class of Besov spaces \(A^s_{pq}\), \(s>0\). Here we wish to extend these results to certain related spaces. These are the Lipschitz classes \(\Lambda_s\) and the mean Lipschitz classes \(\Lambda_{p,s}\) where \(p\geq 1\), \(0<s<1\). We also consider \(A^0_{pq}\), where \(s=0\), although the results obtained for these are not as good as when \(s>0\).