Multiplication and composition operators between two Orlicz spaces

By Y. Estaremi. 2013

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In this paper we consider composition operator $C_{\varphi} 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 $\varphi$, the function $u$ and the measure space $(X, \Sigma, \mu)$.

View Paper: https://www.semanticscholar.org/paper/0077316719240535190802cf58b1a4a497eb0c00