A note on weighted composition operators on measurable function spaces

چکیده مقاله

In this paper we will consider the weighted composition
operators W = uCτ between Lp(X,Σ, μ) spaces and Orlicz spaces
Lϕ(X,Σ, μ), generated by measurable and non-singular transformations
τ from X into itself and measurable functions u on X.
We characterize the functions u and transformations τ that induce
weighted composition operators between Lp-spaces by using some
properties of conditional expectation operator, pair (u, τ) and the
measure space (X,Σ, μ). Also, some other properties of these types
of operators will be investigated