Embeddings between weighted Tandori and Ces\`{a}ro Function Spaces

TL;DR

This paper characterizes the embeddings between weighted Tandori and Cesàro function spaces using duality and integral operator estimates, advancing understanding of their structural relationships.

Contribution

It provides a new characterization of embeddings between these spaces, combining duality arguments and estimates for iterated integral operators.

Findings

Characterization of embeddings between weighted Tandori and Cesàro spaces.

Use of duality arguments for weighted Lebesgue and Tandori spaces.

Estimates for iterated integral operators in the context of these embeddings.

Abstract

We give the characterization of the embeddings between weighted Tandori and Ces\`{a}ro function spaces using the combination of duality arguments for weighted Lebesgue spaces and weighted Tandori spaces with estimates for the iterated integral operators.