On functions in the little Bloch space and inner functions-Reference-Cited by-同舟云学术

On functions in the little Bloch space and inner functions

Published:1996 Issue:7 Volume:348 Page:2519-2531
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Rohde S.

Abstract

We prove that analytic functions in the little Bloch space assume every value as a radial limit on a set of Hausdorff dimension one, unless they have radial limits on a set of positive measure. The analogue for inner functions in the little Bloch space is also proven, and characterizations of various classes of Bloch functions in terms of their level sets are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1996-348-07/S0002-9947-96-01497-3/S0002-9947-96-01497-3.pdf

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