Volterra type operators on minimal Mobius invariant space
Complex Variables
2021-12-17 v1
Abstract
In this note, we mainly study operator-theoretic properties on Besov space on the unit disc. This space is the minimal Mobius invariant space. Firstly, we consider the boundedness of Volterra type operators. Secondly, we prove that Volterra type operators belong to the Deddens algebra of composition operator. Thirdly, we obtain estimates for the essential norm of Volterra type operators. Finally, we give a complete characterization of spectrum of Volterra type operators.
Cite
@article{arxiv.2112.08675,
title = {Volterra type operators on minimal Mobius invariant space},
author = {Huayou Xie and Junming Liu and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:2112.08675},
year = {2021}
}
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14 Pages