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Spring 1999 The essential norm of a composition operator on a planar domain
Stephen D. Fisher, Jonathan E. Shapiro
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Illinois J. Math. 43(1): 113-130 (Spring 1999). DOI: 10.1215/ijm/1255985340


We generalize to finitely connected planar domains the result of Joel Shapiro which gives a formula for the essential norm of a composition operator. In the process, we define and give some properties of a generalization of the Nevanlinna counting function and prove generalizations of the Littlewood inequality, the Littlewood-Paley identity, and change of variable formulas, as well.


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Stephen D. Fisher. Jonathan E. Shapiro. "The essential norm of a composition operator on a planar domain." Illinois J. Math. 43 (1) 113 - 130, Spring 1999.


Published: Spring 1999
First available in Project Euclid: 19 October 2009

zbMATH: 0932.47022
MathSciNet: MR1665653
Digital Object Identifier: 10.1215/ijm/1255985340

Primary: 47B38
Secondary: 30D55 , ‎30H05

Rights: Copyright © 1999 University of Illinois at Urbana-Champaign

Vol.43 • No. 1 • Spring 1999
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