Pointwise multipliers of Musielak--Orlicz spaces and factorization
Functional Analysis
2020-03-19 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1812.05887,
title = {Pointwise multipliers of Musielak--Orlicz spaces and factorization},
author = {Karol Leśnik and Jakub Tomaszewski},
journal= {arXiv preprint arXiv:1812.05887},
year = {2020}
}