Browsing by Author "Lo, Ching-on"
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Item type:Article, Access status: Open Access , Closed range weighted composition operators between Lp-spaces(Wydawnictwa AGH, 2021) Lo, Ching-on; Loh, Anthony Wai-keungWe 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.Item type:Article, Access status: Open Access , Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces(Wydawnictwa AGH, 2020) Lo, Ching-on; Loh, Anthony Wai-keungLet $u$ and $\varphi$ be two analytic functions on the unit disk $\mathbb{D}$ such that $\varphi\mathbb{D} \subset \mathbb{D}$. A weighted composition operator $uC_{\varphi}$ induced by $u$ and $\varphi$ is defined on $H^2$, the Hardy space of $\mathbb{D}$, by $uC_{\varphi}f := u \cdot f \circ \varphi$ for every $f$ in $H^2$. We obtain sufficient conditions for Hilbert-Schmidtness of $uC_{\varphi}$ on $H^2$ in terms of function-theoretic properties of $u$ and $\varphi$. Moreover, we characterize Hilbert-Schmidt difference of two weighted composition operators on $H^2$.