Some Remarks on the Lp - Lq Boundedness of uCj

In this paper we will consider the weighted composition operators between two different Lp-spaces and then we characterize the functions u and transformations j that induce weighted composition operator uCj between Lp(X, S, m)-spaces by using some properties of conditional expectation operator, pair (u, j) and the measure space (X, S, m).

Some Remarks on the Lp - Lq Boundedness of uCj

In this paper we will consider the weighted composition operators between two different Lp-spaces and then we characterize the functions u and transformations j that induce weighted composition operator uCj between Lp(X, S, m)-spaces by using some properties of conditional expectation operator, pair (u, j) and the measure space (X, S, m).