Multiplication operators between Orlicz spaces

Composition operators on Lorentz spaces

“…There is a vast literature for composition operators on measurable function spaces and their applications, one can refer to [4,5,6,8,9,11,12,16,18,19,20] The main aim of this paper is to study Predholmn property, isometry, invertibility of composition operators on Lorentz spaces L(p,q). In Section 2, we study the boundedness of composition operators between Lorentz spaces with different measure spaces.…”

Multiplication operators on the space of functions of bounded variation

“…An operator T is called Fredholm if it is lower and upper semi-Fredholm. Fredholm multiplication operators have been studied in Lp spaces by Jabbarzadeh and Pourreza [10], in Orlicz spaces by Komal and Gupta [11] and more generally, in Köthe spaces by Castillo, Ramos-Fernández and SalasBrown [5]. It is remarkable that in those spaces, for non-atomic measures, Fredholm multiplication operators are the same as invertible multiplication operators.…”

Weighted composition operators on Orlicz-Sobolev spaces

“…Other similar references include ( [2,3,5] and [7]). In Section 2 we define the composition operator on W…”