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Universality of automorphisms on the ball of bounded holomorphic functions on the polydisk

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Given a sequence of automorphisms of the polydisk, we show that the associated composition semigroup homomorphisms on the ball of bounded holomorphic functions on the polydisk admit a universal inner… Click to show full abstract

Given a sequence of automorphisms of the polydisk, we show that the associated composition semigroup homomorphisms on the ball of bounded holomorphic functions on the polydisk admit a universal inner function if a certain condition on the automorphisms are satisfied.

Keywords: holomorphic functions; universality automorphisms; bounded holomorphic; ball bounded; functions polydisk

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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