Mathematica Bohemica, Vol. 148, No. 1, pp. 65-72, 2023
On the inclusions of $X^\Phi$ spaces
Seyyed Mohammad Tabatabaie, Alireza Bagheri Salec
Received May 7, 2021. Published online March 16, 2022.
Abstract: 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 $(\Omega,\mathcal{A},\mu)$.
Keywords: Young function; Orlicz space; quasi-Banach function space; inclusion
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Affiliations: Seyyed Mohammad Tabatabaie, Alireza Bagheri Salec, Department of Mathematics, University of Qom, Qom, Iran, e-mail: sm.tabatabaie@qom.ac.ir, r-bagheri@qom.ac.ir
