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).

DOI

Keywords

Weighted composition operator, conditional expectation, multiplication operator

First Page

257

Last Page

263

Recommended Citation

JABBARZADEH, M. R (2007). Some Remarks on the L^p - L^q Boundedness of uC_{\varphi}. Turkish Journal of Mathematics 31 (3): 257-263. https://doi.org/-

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