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Norms of Composition Operators Induced by Finite Blaschke Products on Möbius Invariant Spaces

  • María J. Martín
  • Dragan VukotićEmail author
Chapter
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Part of the Fields Institute Communications book series (FIC, volume 65)

Abstract

We obtain an asymptotic formula for the norms of composition operators induced by finite Blaschke products on analytic (quotient) Besov spaces in terms of their degree. We also compute the norms of such operators on the true Bloch and Dirichlet spaces.

Keywords

Finite Blaschke product Analytic Besov space Bloch space Dirichlet space Composition operator Operator norm 

Mathematics Subject Classification

47B33 30D45 31C25 

Notes

Acknowledgements

The authors thankfully acknowledges partial support from MICINN grant MTM2009-14694-C02-01, Spain. The second author was also partially supported by the European ESF Network HCAA (“Harmonic and Complex Analysis and Its Applications”).

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Departamento de Matemáticas, Módulo 17, CienciasUniversidad Autónoma de MadridMadridSpain

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