The Multiplier Algebra of Orlicz Spaces

Journal Title, Volume, Page:

An-Najah University Journal for Research - Natural Sciences - Volume 12, Issue 1, 1998

Year of Publication:

1998

Link:

http://scholar.najah.edu/publication/journal-article/multiplier-algebra-orlicz-s...

Authors:

Abdallah Hakawati

Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine

Current Affiliation:

Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Preferred Abstract (Original):

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

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The Multiplier Algebra of Orlicz Spaces