Multiplication and composition operators between two Orlicz spaces

In this paper we consider composition operator $C_φ generated by nonsingular measurable transformation$T$and multiplication operator$M_u$generated by measurable function$u$between two different Orlicz spaces, then we investigate boundedness, compactness and essential norm of multiplication and composition operators in term of properties of the mapping$φ$, the function$u$and the measure space$(X, Σ, μ)$.

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