The Multiplier Algebra of Orlicz Spaces

The Multiplier Algebra of Orlicz Spaces

Abdallah Hakawati

Department of Mathematics, An-Najah N. University-Nablus, Palestine.

Received : 21-01-1998 , Accepted : 09-07-1998

Language: English

Abstract

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.

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