A note on weighted composition operators on $L^p$-spaces

چکیده مقاله

In this paper we will consider the weighted composition
operators uC' between two different Lp(X,, μ)
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 Lp-spaces by
using some properties of conditional expectation operator, pair
(u, ') and the measure space (X,, μ). Also, some other properties
of these types of operators will be investigated.