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Operators from the Hardy space to the α‐Bloch space

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  • Tatsuhiro Honda

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.

Suggested Citation

  • Tatsuhiro Honda, 2019. "Operators from the Hardy space to the α‐Bloch space," Mathematische Nachrichten, Wiley Blackwell, vol. 292(10), pages 2203-2211, October.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:10:p:2203-2211
    DOI: 10.1002/mana.201700435
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