Radial behaviour of inner functions in script B sign<inf>0</inf>

J. J. Donaire

doi:10.1112/S0024610700001678

Radial behaviour of inner functions in script B sign<inf>0</inf>

J. J. Donaire

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

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
Pages (from-to)	141-158
Journal	Journal of the London Mathematical Society
Volume	63
Issue number	1
DOIs	https://doi.org/10.1112/S0024610700001678
Publication status	Published - 1 Jan 2001

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title = "Radial behaviour of inner functions in script B sign0",

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