The Multiplier Algebra of Orlicz Spaces
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.
Article history
- Received
- 1998-01-21
- Accepted
- 1998-07-09
- Available online
- 1998-07-09
The Multiplier Algebra of Orlicz Spaces
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جبر مضاعفات فضاء اورلكس
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.
Article history
- تاريخ التسليم
- 1998-01-21
- تاريخ القبول
- 1998-07-09
- Available online
- 1998-07-09