Musielak-Orlicz spaces that are isomorphic to subspaces of L1
(2015)
Journal Article
Prochno, J. (2015). Musielak-Orlicz spaces that are isomorphic to subspaces of L1. Annals of Functional Analysis, 6(1), 84-94. https://doi.org/10.15352/afa/06-1-7
We prove that 1/n! ∑π∈Gn (∑ni=1 |xiai,π(i)|2)1/2 is equivalent to a Musielak-Orlicz norm ||x||∑Mi. We also provide the converse result, i.e., given the Orlicz functions, we provide a formula for the choice of the matrix that generates the correspondi... Read More about Musielak-Orlicz spaces that are isomorphic to subspaces of L1.