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Weighted composition operators from \(F(p,q,s)\) spaces to \(H_{\mu }^{\infty}\) spaces. (English) Zbl 1173.30037

Author’s abstract: Let \(H(B)\) denote the space of all holomorphic functions on the unit ball \(B\). Let \(u\in H(B)\) and \(\varphi \) be a holomorphic self-map of \(B\). In this paper, we investigate the boundedness and compactness of the weighted composition operator \(uC_{\varphi }\) from the general function space \(F(p,q,s)\) to the weighted-type space \(H_{\mu }^{\infty }\) in the unit ball.

MSC:

30H05 Spaces of bounded analytic functions of one complex variable
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