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Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball

Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball

For , let and denote, respectively, the -Bloch and holomorphic -Lipschitz spaces of the open unit ball in . It is known that and are equal as sets when . We prove that these spaces are additionally norm-equivalent, thus extending known results for and the polydisk. As an application, we …