Let \( \mathbb{D} \) n denote the unit polydisk and let B n denote the unit ball in \( \mathbb{C} \) n, n ≥1. We study weighted composition operators on the α-Bloch spaces \( {\mathcal{B}^\alpha } \) (\( \mathbb{D} \) n), α > 1. We also study Cesàro type operators on the α-Bloch spaces \( {\mathcal{B}^\alpha } \) (B n ), α > 0. Bibliography: 15 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 366, 2009, pp. 42–52.
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Dubtsov, E.S. Classical operators on BLOCH spaces. J Math Sci 165, 449–454 (2010). https://doi.org/10.1007/s10958-010-9812-5
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DOI: https://doi.org/10.1007/s10958-010-9812-5