A NOTE ON WEIGHTED COMPOSITION OPERATORS ON MEASURABLE FUNCTION SPACES Jbbarzadeh, M.R.;
In this paper we will consider the weighted composition operators W = between ) spaces and Orlicz spaces ) generated by measurable and non-singular transformations from X into itself and measurable functions u on X. We characterize the functions u and transformations that induce weighted composition operators between -spaces by using some properties of conditional expectation operator, pair (u,) and the measure space ). Also, some other properties of these types of operators will be investigated.