Abstract

We study multiplicative isometries on the following F‐algebras of holomorphic functions: Smirnov class N*(X), Privalov class Np(X), Bergman‐Privalov class and Zygmund F‐algebra NlogβN(X), where X is the open unit ball 𝔹n or the open unit polydisk 𝔻n in ℂn.

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