Riemann-Stieltjes operators on some general spaces on the unit ball and their essential norm

TL;DR

This paper estimates the essential norm of Riemann-Stieltjes operators acting between general function spaces and Zygmund-type spaces on the unit ball in complex space, advancing understanding of operator behavior in complex analysis.

Contribution

It provides new bounds for the essential norm of Riemann-Stieltjes operators between specific complex function spaces on the unit ball.

Findings

Derived estimates for the essential norm of Riemann-Stieltjes operators.

Extended analysis to general and mixed-norm function spaces.

Applied results to Zygmund-type spaces in several complex variables.

Abstract

The objective of this paper is to find an estimation of the essential norm of Riemann-Stieltjes operator from the spaces $F(p,q,s)$ ( general function space) and $H(p,q,\phi)$ (mixed-norm space) into Zygmund-type space in the unit ball of $\mathbb{C}^n$.