In this paper we characterize off-diagonal Carleson embeddings for both Hardy-Orlicz spaces and Bergman-Orlicz spaces of the upper-half plane. We use these results to obtain embedding relations and pointwise multipliers between these spaces.
"Carleson embeddings for Hardy-Orlicz and Bergman-Orlicz spaces of the upper-half plane." Funct. Approx. Comment. Math. 64 (2) 163 - 201, June 2021. https://doi.org/10.7169/facm/1877