Abstract
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.
Citation
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. https://doi.org/10.1215/ijm/1255985340
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