The Multiplier Algebra of Orlicz Spaces


Article info

1998-01-21
1998-07-09
1998-07-09
1 - 6

Keywords

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.

جبر مضاعفات فضاء اورلكس


معلومات المقال

1998-01-21
1998-07-09
1998-07-09
1 - 6

الكلمات الإفتتاحية

الملخص

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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