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COMPOSITION OPERATORS BETWEEN $H^p$ and $\mathcal{B}_\alpha^q$, BETWEEN $L_a^p$ and $\mathcal{B}_\beta^q$
Keywords:
weighted composition operator, Bergman space, Hardy space, Hardy type space, closed range, bounded belowDOI:
https://doi.org/10.17654/0972087125007Abstract
We study $\mathcal{B}_\alpha^p$ and $B_\alpha^p$, which are extensions of $\mathcal{B}_\alpha$. We provide characterization results with respect to $C_{\varphi}$ between $H^p$ and $\mathcal{B}_\alpha^q$, as well as between $L_a^p$ and $\mathcal{B}_\beta^q$.
Received: September 14, 2024
Accepted: November 5, 2024
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