Weighted composition operators between $L^p$-spaces

چکیده مقاله

In this paper we will consider the weighted composi-
tion operator W = uC' between two di®erent Lp(X;§; ¹) 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 com-
position operators between Lp-spaces by using some properties of
conditional expectation operator, pair (u,') and the measure space
(X;§; ¹). Also, Fredholmness of these type operators will be inves-
tigated.