Vol. 142, No. 2, 1990

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Bounded functions in the little Bloch space

Christopher J. Bishop

Vol. 142 (1990), No. 2, 209–225
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
Authors
Christopher J. Bishop
Department of Mathematics
SUNY Stony Brook University
4-112 Mathematics Building
NY 11794
United States
http://www.math.sunysb.edu/~bishop/