Some Remarks on the L^p - L^q Boundedness of uC_{\varphi}

Authors: M. R. JABBARZADEH

Abstract: In this paper we will consider the weighted composition operators between two different L^p-spaces and then we characterize the functions u and transformations \varphi that induce weighted composition operator uC_{\varphi} between L^p(X, \Sigma, \mu)-spaces by using some properties of conditional expectation operator, pair (u, \varphi) and the measure space (X, \Sigma, \mu).

Keywords: Weighted composition operator, conditional expectation, multiplication operator

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