1. Pointwise mutipliers of Orlicz function spaces and factorization
- Author
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Jakub Tomaszewski and Karol Leśnik
- Subjects
Pointwise ,Pure mathematics ,Mathematics::Functional Analysis ,Mathematics(all) ,Function space ,General Mathematics ,010102 general mathematics ,Mathematics::Classical Analysis and ODEs ,Function (mathematics) ,Operator theory ,Space (mathematics) ,01 natural sciences ,Potential theory ,Theoretical Computer Science ,010101 applied mathematics ,Factorization ,0101 mathematics ,Representation (mathematics) ,Analysis ,Mathematics - Abstract
In the paper we find representation of the space of pointwise multipliers between two Orlicz function spaces, which appears to be another Orlicz space and the formula for the Young function generating this space is given. Further, we apply this result to find necessary and sufficient conditions for factorization of Orlicz function spaces.
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