A study of Multiplier Spaces for Segal Algebras

Abstract

This thesis deals with the study of multiplier spaces of Segal Algebras, especially segal algebra's on the real line. The method of characterising multipliers of various classes of functions on the real line, chosen to be the relevant approach for this study. The motivation is to formulate a result on the space of multipliers for segal algebras and the normed ideals. When the normed ideal is a dual space, the space of multipliers into the corresponding Segal Algebra, turns out to be a dual space. Finally, a generalisation for the multiplier on translation invariant spaces is also considered in this study.