Vol. 188, No. 2, 1999

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The essential norm of a composition operator on Bloch spaces

Alfonso Montes-Rodríguez

Vol. 188 (1999), No. 2, 339–351
Abstract

We express the essential norm of a composition operator on the Bloch space and the little Bloch space as the asymptotic upper bound of a quantity involving the inducing map and the Pick-Schwarz Lemma. As a consequence, we obtain a new proof of a recently obtained characterization of the compact composition operators on Bloch spaces.

Milestones
Received: 30 May 1997
Revised: 3 May 1998
Published: 1 March 1999
Authors
Alfonso Montes-Rodríguez
Universidad de Sevilla
Sevilla 41080
Spain