A space of multipliers on L

TL;DR

This paper characterizes functions and sequences that act as multipliers on spaces of integrable functions on real line and torus, extending recent mathematical results.

Contribution

It generalizes existing conditions for multipliers on L^1 spaces, broadening the understanding of multiplier functions in harmonic analysis.

Findings

Provides new criteria for multipliers on L^1(R) and L^1(T)

Extends recent results of Giang and Moricz

Enhances the theoretical framework of harmonic analysis

Abstract

Conditions for a function (number sequence) to be a multiplier on the space of integrable functions on $\Bbb R$ ($\Bbb T$) are given. This generalizes recent results of Giang and Moricz.