Closed range weighted composition operators between L^{p}-spaces

Abstract

We characterize the closedness of ranges of weighted composition operators between \(L^p\)-spaces, where \(1 \leq p \leq \infty\). When the \(L^p\)-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.

Keywords

• weighted composition operator
• lebesgue space
• closed range