Integral-type operators from Hardy space to Bloch space on the upper half-plane

TL;DR

This paper characterizes the boundedness and compactness of integral-type operators mapping from Hardy space to Bloch space on the upper half-plane, providing insights into their functional properties.

Contribution

It offers a new characterization of boundedness and compactness for integral-type operators between Hardy and Bloch spaces on the upper half-plane.

Findings

Boundedness criteria established for the operators.

Compactness conditions characterized.

Results applicable to analysis on the upper half-plane.

Abstract

The boundedness of compactness of integral-type operators from Hardy space to Bloch space on the upper half-plane $\Pi_+=\{z\in\mathbb{C}:Imz>0\}$ are characterized.