Journals / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 3

Some Remarks on the Lp - Lq Boundedness of uCj

Pages
257–263
DOI
—

Abstract

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).

Özet

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).

Keywords: Weighted composition operator, conditional expectation, multiplication operator