4 papers
Factorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel Operators
Jean-Marcel Tanoh Dje, Justin Feuto, Benoît F. Sehba
In this work, we establish a strong factorization for Hardy-Orlicz spaces on the upper half-plane. We show that the product of two functions belonging respectively to Hardy-Orlicz…
Factorization of Hardy-Orlicz Space on the Disk and applications to Hankel Operators
Jean-Marcel Tanoh Dje, Justin Feuto
In this work, we prove that the product of a function belonging to a Hardy-Orlicz space and a function from another Hardy-Orlicz space belongs to a third Ha…
Atomic decomposition of Bergman-Orlicz space on the upper complex half-plane
J. M. Tanoh Dje, Benoît. F. Sehba
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 betw…
A generalization of representation theorems in Hardy-Orlicz spaces on the upper complex half-plane
Jean-Marcel Tanoh Dje, Justin Feuto
In this paper, we give Poisson and Cauchy representation theorems in Hardy-Orlicz spaces on the upper complex half-plane. We use these theorems for the construction of dual spaces…