On a Generalization of (Lω1, Lωp)-Multipliers

Abstract

This paper deals with a generalized aspect of multipliers for the pair (Lω1, Lωp) of Beurling spaces. Using the Fourier transform related to a Beurling weight, we give a characterization of the aforementioned multipliers. We also prove the identification of the space of the multipliers for the pair (Lω1, Lωp) with the Beurling space Lωp when 1< p<∞.