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On a product-type operator between Hardy and ?-Bloch spaces of the upper half-plane.

ABSTRACT: Recently we have introduced a product-type operator and studied it on some spaces of analytic functions on the unit disc. Here we start investigating the operator on the space of analytic functions on the upper half-plane. We characterize the boundedness and compactness of the operator between Hardy and ?-Bloch spaces on the domain.

SUBMITTER: Stevic S 

PROVIDER: S-EPMC6182426 | biostudies-other | 2018

REPOSITORIES: biostudies-other

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On a product-type operator between Hardy and <i>α</i>-Bloch spaces of the upper half-plane.

Stević Stevo S   Sharma Ajay K AK  

Journal of inequalities and applications 20181010 1

Recently we have introduced a product-type operator and studied it on some spaces of analytic functions on the unit disc. Here we start investigating the operator on the space of analytic functions on the upper half-plane. We characterize the boundedness and compactness of the operator between Hardy and <i>α</i>-Bloch spaces on the domain. ...[more]