Contractive analytic self-maps of the unit disc are characterized by their Aleksandrov-Clark measures, inner-outer factorization, and mixing properties of boundary values for inner functions.
Montes-Rodr\'iguez, The essential norm of a composition operator in Bloch spaces \/, Pacific J
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Contractive analytic self-mappings of the disc
Contractive analytic self-maps of the unit disc are characterized by their Aleksandrov-Clark measures, inner-outer factorization, and mixing properties of boundary values for inner functions.