The Multiplier Algebra of Orlicz Spaces

In this paper we prove that if ? is a modulus function and if X = [0,1] is given the Lebesgue measure, then M(L?) = L?, if and only if lim x – 0 ?(x2)/ ?(x) < ?; L? being the Orlicz space L? (X); and M(L?) its multiplier algebra.

Bibliographic Details
Published in:مجلة جامعة النجاح للأبحاث العلوم الطبيعية
Main Author: Abdallah Hakawati
Format: Article
Language:English
Published: An-Najah National University 1998-07-01
Online Access:https://journals.najah.edu/media/journals/full_texts/multiplier-algebra-orlicz-spaces.pdf