Carleson embeddings and pointwise multipliers between Hardy-Orlicz spaces and Bergman-Orlicz spaces of the upper half-plane

J. M Tanoh Dje; Benoit F. Sehba

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arXiv · 2309.05414

Carleson embeddings and pointwise multipliers between Hardy-Orlicz spaces and Bergman-Orlicz spaces of the upper half-plane

J. M Tanoh Dje·Benoit F. Sehba

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Abstract

In this article, we give a general characterization of Carleson measures involving concave or convex growth functions. We use this characterization to establish continuous injections and also to characterize the set of pointwise multipliers between Hardy-Orlicz spaces and Bergman-Orlicz spaces.

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BibTeX RIS

J. M Tanoh Dje, Benoit F. Sehba. 2023-09-11. Carleson embeddings and pointwise multipliers between Hardy-Orlicz spaces and Bergman-Orlicz spaces of the upper half-plane. https://arxiv.org/abs/2309.05414

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