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

Stevo Stević; Ajay K Sharma

doi:10.1186/s13660-018-1867-8

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

J Inequal Appl. 2018;2018(1):273. doi: 10.1186/s13660-018-1867-8. Epub 2018 Oct 10.

Authors

Stevo Stević^{1

2}, Ajay K Sharma³

Affiliations

¹ Mathematical Institute of the Serbian Academy of Sciences, Beograd, Serbia.
² 2Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan, Republic of China.
³ 3Department of Mathematics, Central University of Jammu, Jammu, India.

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 α-Bloch spaces on the domain.

Keywords: Bloch space; Boundedness; Compactness; Hardy space; Product-type operator; Upper half-plane.