Multiplication and composition operators between two Orlicz spaces

Yousef Estaremi

paper

Multiplication and composition operators between two Orlicz spaces

arXiv:1301.4830

Abstract

In this paper we consider composition operator $C_{φ} g e n er a t e d b y n o n s in g u l a r m e a s u r ab l e t r an s f or ma t i o n$ T $an d m u l t i pl i c a t i o n o p er a t or$ M_u $g e n er a t e d b y m e a s u r ab l e f u n c t i o n$ u $b e tw ee n tw o d i f f er e n tO r l i cz s p a ces, t h e n w e in v es t i g a t e b o u n d e d n ess, co m p a c t n ess an d esse n t ia l n or m o f m u l t i pl i c a t i o nan d co m p os i t i o n o p er a t or s in t er m o f p r o p er t i eso f t h e ma pp in g$ φ $, t h e f u n c t i o n$ u $an d t h e m e a s u r es p a ce$ (X, Σ, μ)$.

11pages

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