Pointwise multipliers of Musielak–Orlicz spaces and factorization

被引：0
作者：
Karol Leśnik
Jakub Tomaszewski
机构：
[1] Poznań University of Technology,Institute of Mathematics
来源：
Revista Matemática Complutense | 2021年 / 34卷
关键词：
Nakano spaces; Musielak–Orlicz spaces; Pointwise multipliers; Factorization; 46E30; 46B42;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that the space of pointwise multipliers between two distinct Musielak–Orlicz spaces is another Musielak–Orlicz space and the function defining it is given by an appropriately generalized Legendre transform. In particular, we obtain characterization of pointwise multipliers between Nakano spaces. We also discuss factorization problem for Musielak–Orlicz spaces and exhibit some differences between Orlicz and Musielak–Orlicz cases.
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页码：489 / 509
页数：20
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