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Pointwise multipliers of Orlicz function spaces and factorization

2016/05/27 by Karol Leśnik, Leśnik, Karol, Jakub Tomaszewski +1
Mathematics · #46B42 #46E30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1605.08581

openalex publication_date 2016/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 suffcient conditions for factorization of Orlicz function spaces.

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