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New York Journal of Mathematics
Volume 31 (2025), 1271-1315

  

Jean-Marcel Tanoh Dje and Benoit F. Sehba

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

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Published: September 16, 2025.
Keywords: Orlicz space, Carleson measure, Bergman projection, dyadic grids.
Subject [2010]: Primary 32A36, 32A37,47B35; secondary 32M15.

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

Acknowledgements

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Author information

Jean-Marcel Tanoh Dje
Unite de Recherche et d'Expertise Numerique
Universite virtuelle de Cote d'Ivoire
Abidjan

tanoh.dje@uvci.edu.ci

Benoit F. Sehba
Department of Mathematics
University of Ghana
P.O. Box L.G 62 Legon, Accra, Ghana

bfsehba@ug.edu.gh