Operators from the Hardy space to the α‐Bloch space

Tatsuhiro Honda

Mathematische Nachrichten, 2019, vol. 292, issue 10, 2203-2211

Abstract: Let BX be a bounded symmetric domain realized as the open unit ball of a finite dimensional JB*‐triple X. In this paper, we characterize the bounded weighted composition operators from the Hardy space H∞(BX) into the α‐Bloch space Bα(BX) on BX. Also, we show the multiplication operator from H∞(BX) into Bα(BX) is bounded. Finally, we show that there exist no isometric composition operators.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:292:y:2019:i:10:p:2203-2211

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