Norms of Composition Operators Induced by Finite Blaschke Products on Möbius Invariant Spaces
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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.
KeywordsFinite Blaschke product Analytic Besov space Bloch space Dirichlet space Composition operator Operator norm
Mathematics Subject Classification47B33 30D45 31C25
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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