For several families of finite-rank operators on the weighted Hardy space H_γ(𝔻), the paper gives exact formulas for the Berezin range and proves it is always convex.
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Convexity of the Berezin range of operators on $\mathcal{H}_\gamma (\mathbb{D})$
For several families of finite-rank operators on the weighted Hardy space H_γ(𝔻), the paper gives exact formulas for the Berezin range and proves it is always convex.