Abstract
With probabilistic techniques, it is proved that an inner function in the little Bloch space can have every asymptotic radial behaviour on sets of Hausdorff dimension 1. This is applied to deduce some differentiability properties of positive singular smooth measures and a result on radial cluster set interpolation for inner functions.
Original language | English |
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Pages (from-to) | 141-158 |
Journal | Journal of the London Mathematical Society |
Volume | 63 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2001 |