Differences of Weighted Composition Operators from $H^\infty$ to the Bloch Space

TL;DR

This paper introduces two new characterizations for when the difference of two weighted composition operators is bounded or compact from the space of bounded holomorphic functions to the Bloch space.

Contribution

It provides novel criteria for boundedness and compactness of operator differences, advancing understanding of operator behavior between these function spaces.

Findings

Two new characterizations for boundedness

Two new characterizations for compactness

Enhanced understanding of operator differences

Abstract

In this paper, we give two new characterizations for the boundedness and compactness of the difference of two weighted composition operators acting from $H^\infty$ to the Bloch space.