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Article Dans Une Revue Mathematische Zeitschrift Année : 2012

Reverse estimates in growth spaces

Résumé

Let H(B d ) denote the space of holomorphic functions on the unit ball B d of ℂ d . Given a radial doubling weight w, we construct functions f,g∈H(B1) such that |f| + |g| is comparable to w. Also, we obtain similar results for B d , d ≥ 2, and for circular, strictly convex domains with smooth boundary. As an application, we study weighted composition operators and related integral operators on growth spaces of holomorphic functions.
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Dates et versions

hal-00796357 , version 1 (03-03-2013)

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  • HAL Id : hal-00796357 , version 1

Citer

Evgeny Abakumov, Evgueni Doubtsov. Reverse estimates in growth spaces. Mathematische Zeitschrift, 2012, 271 (1-2), pp.399-413. ⟨hal-00796357⟩
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