Article
Keywords:
Young function; Orlicz space; quasi-Banach function space; inclusion
Summary:
We give some equivalent conditions (independent from the Young functions) for inclusions between some classes of $X^\Phi $ spaces, where $\Phi $ is a Young function and $X$ is a quasi-Banach function space on a $\sigma $-finite measure space $(\Omega ,\mathcal {A},\mu )$.
References:
[1] Campo, R. del, Fernández, A., Mayoral, F., Naranjo, F.:
Orlicz spaces associated to a quasi-Banach function space: Applications to vector measures and interpolation. Collect. Math. 72 (2021), 481-499.
DOI 10.1007/s13348-020-00295-1 |
MR 4297141 |
Zbl 07401995
[2] Rao, M. M., Ren, Z. D.:
Theory of Orlicz Spaces. Pure and Applied Mathematics 146. Marcel Dekker, New York (1991).
MR 1113700 |
Zbl 0724.46032