Bounded functions in the little Bloch space

Christopher J. Bishop

Vol. 142 (1990), No. 2, 209–225

DOI: 10.2140/pjm.1990.142.209

Abstract

We give a characterization of the bounded functions in the little Bloch space. In particular, we characterize the Blaschke products in the little Bloch space in terms of the distribution of their zeros, and give an explicit example of such a Blaschke product.

Mathematical Subject Classification 2000

Primary: 30D45

Secondary: 30D55, 46E15, 46J15

Milestones

Received: 23 March 1988

Revised: 5 October 1988

Published: 1 April 1990