Boundedness of composition operators on $X^\Phi$ spaces

نویسندگان
Bagheri Salec, A. ID 1
Tabatabaie, S. M. ID 2
Alhusseini, A. H. K. ID 3
Szekelyhidi, L'aszl'o ID 4

1 Department of Mathematics‎, ‎University of Qom‎, ‎Qom‎, ‎Iran.

2 Department of Mathematics‎, ‎University of Qom‎, ‎Qom‎, ‎Iran.

3 Department of Mathematics‎, ‎University of Qom‎, ‎Qom‎, ‎Iran.

4 Debrecen University‎, ‎Department of Mathematics‎, ‎Debrecen‎, ‎Hungary.

doi
10.30504/jims.2024.476597.1205
چکیده

In this paper‎, ‎we study composition operators on the space $X^\Phi$‎, ‎where $\Phi$ is a Young function and $X^\Phi$ is a generalized Orlicz space associated to a Banach function space $X$‎. We give some necessary and sufficient conditions for a composition operator to be bounded on $X^\Phi$‎.

کلیدواژه‌ها
Banach function spaces, Composition operator, Generalized Orlicz spaces