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Inner functions and cyclic vectors in the Bloch space. (English) Zbl 0768.46003
Summary: We construct a singular inner function whose polynomial multiples are dense in the little Bloch space $${\mathcal B}_ 0$$. To do this we construct a singular measure on the unit circle with “best possible” control of both the first and second differences.

##### MSC:
 46E15 Banach spaces of continuous, differentiable or analytic functions 30H05 Spaces of bounded analytic functions of one complex variable 46J15 Banach algebras of differentiable or analytic functions, $$H^p$$-spaces
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##### References:
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