Essential norm of generalized Integral type Operators from Mixed-Norm to Zygmund-Type Spaces

TL;DR

This paper estimates the essential norm of a generalized integration operator acting from mixed-norm spaces into Zygmund-type and Bloch-type spaces, advancing understanding of operator behavior in complex function spaces.

Contribution

It provides new bounds for the essential norm of generalized integral operators between mixed-norm and Zygmund-type spaces, a novel analysis in this context.

Findings

Derived estimates for the essential norm of the operator.

Extended the understanding of operator behavior between complex function spaces.

Established bounds that can be used for further operator analysis.

Abstract

In this paper, we consider the generalized integration operator from mixed-norm space into Zygmund-type and Bloch-type spaces and find an estimation for the essential norm of this operator.