Norms of composition operators on weighted Hardy spaces
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2012
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Hebrew University Magnes Press
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Gallardo Gutiérrez, E. A., & Partington, J. R. «Norms of Composition Operators on Weighted Hardy Spaces». Israel Journal of Mathematics, vol. 196, n.o 1, agosto de 2013, pp. 273-83. DOI.org (Crossref), https://doi.org/10.1007/s11856-012-0148-3.
Abstract
The norm of a bounded composition operator induced by a disc automorphism is estimated on weighted Hardy spaces H 2(β) in which the classical Hardy space is continuously embedded. The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence β. As a by-product of our results, an estimate for the norm of any bounded composition operator on H 2(β) is obtained.