New characterizations for differences of Volterra‐type operators from α‐weighted‐type space to β‐Bloch–Orlicz space

Yu‐Xia Liang and Cui Chen

Mathematische Nachrichten, 2018, vol. 291, issue 14-15, 2298-2317

Abstract: Firstly, we presented three equivalent characterizations for the boundedness of the difference of general Volterra‐type operators from α‐weighted‐type space to β‐Bloch–Orlicz space. Especially, the descriptions in terms of the n‐th power of the induced analytic self‐maps were described. And then we estimated their essential norms, which can provide new compactness criteria and be seen as generalizations of classical results. Finally, we completed this paper with similar results on the differences of other three integral‐type operators, which extend and strengthen several existing results in the literature.

Date: 2018
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https://doi.org/10.1002/mana.201700151

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:14-15:p:2298-2317

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