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$\unicode[STIX]{x1D6F7}$-CARLESON MEASURES AND MULTIPLIERS BETWEEN BERGMAN–ORLICZ SPACES OF THE UNIT BALL OF
$\mathbb{C}^{n}$
Published online by Cambridge University Press: 22 March 2017
Abstract
We define the notion of $\unicode[STIX]{x1D6F7}$-Carleson measures, where
$\unicode[STIX]{x1D6F7}$ is either a concave growth function or a convex growth function, and provide an equivalent definition. We then characterize
$\unicode[STIX]{x1D6F7}$-Carleson measures for Bergman–Orlicz spaces and use them to characterize multipliers between Bergman–Orlicz spaces.
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- Research Article
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- © 2017 Australian Mathematical Publishing Association Inc.
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