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arXiv · 2503.23570

Atomic decomposition of Bergman-Orlicz space on the upper complex half-plane

J. M. Tanoh Dje·Benoît. F. Sehba
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Abstract

In this work, we propose an atomic decomposition of the Bergman-Orlicz spaces on the complex upper half-plane. Using this result, we characterize Carleson embeddings with loss between Bergman-Orlicz spaces and certain Orlicz spaces. We also leverage this last result to control the composition operator between two Bergman-Orlicz spaces.

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J. M. Tanoh Dje, Benoît. F. Sehba. 2025-03-30. Atomic decomposition of Bergman-Orlicz space on the upper complex half-plane. https://arxiv.org/abs/2503.23570

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