1 results
Compact composition operators on model spaces
- Part of
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- Journal:
- Canadian Mathematical Bulletin , First View
- Published online by Cambridge University Press:
- 18 March 2025, pp. 1-7
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- Article
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Let
$\varphi : B_d\to \mathbb {D}$, 
$d\ge 1$, be a holomorphic function, where 
$B_d$ denotes the open unit ball of 
$\mathbb {C}^d$ and 
$\mathbb {D}= B_1$. Let 
$\Theta : \mathbb {D} \to \mathbb {D}$ be an inner function, and let 
$K^p_\Theta $ denote the corresponding model space. For 
$p>1$, we characterize the compact composition operators 
$C_\varphi : K^p_\Theta \to H^p(B_d)$, where 
$H^p(B_d)$ denotes the Hardy space.
