International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 1, Pages 147-150
doi:10.1155/S0161171279000156

An example of a Bloch function

Richard M. Timoney

Department of Mathematics, Indiana University, Bloomington 47401, Indiana, USA

Received 3 November 1978

Copyright © 1979 Richard M. Timoney. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A Bloch function is exhibited which has radial limits of modulus one almost everywhere but fails to belong to Hp for each 0<p.