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.
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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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Martín, M.J., Vukotić, D. (2013). Norms of Composition Operators Induced by Finite Blaschke Products on Möbius Invariant Spaces. In: Mashreghi, J., Fricain, E. (eds) Blaschke Products and Their Applications. Fields Institute Communications, vol 65. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-5341-3_12
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DOI: https://doi.org/10.1007/978-1-4614-5341-3_12
Publisher Name: Springer, Boston, MA
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