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Volterra-type operators on the minimal Möbius-invariant space
Published online by Cambridge University Press: 13 June 2022
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 obtain estimates for the essential norm of Volterra-type operators. Finally, we give a complete characterization of the spectrum of Volterra-type operators.
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of The Canadian Mathematical Society
Footnotes
This work was supported by NNSF of China (Grant Nos. 11801094 and 12126203).
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