Φ-Carleson measures and multipliers between Bergman-Orlicz spaces of the unit ball of Cn

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2018

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Journal of the Australian Mathematical Society

Abstract

We define the notion ofΦ-Carleson measures, whereΦis either a concave growth function or a convexgrowth function, and provide an equivalent definition. We then characterizeΦ-Carleson measures forBergman–Orlicz spaces and use them to characterize multipliers between Bergman–Orlicz spaces.

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Bergman–Orlicz spaces, Carleson measures, Multipliers

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