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Volterra-type operators on the minimal Möbius-invariant space

Volterra-type operators on the minimal Möbius-invariant space

Abstract In this note, we mainly study operator-theoretic properties on the Besov space $B_{1}$ on the unit disk. This space is the minimal Möbius-invariant space. First, we consider the boundedness of Volterra-type operators. Second, we prove that Volterra-type operators belong to the Deddens algebra of a composition operator. Third, we …