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Jean-Marcel Tanoh Dje

Publications and source records attributed to Jean-Marcel Tanoh Dje.

5 recordsLinked to original sources
arXiv2026

Factorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel Operators

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 spaces $H^{Φ_{1}}$ and $H^{Φ_{2}}$ lies in a third space $H^{Φ_{3}}$, and every holomorphic function in $H^{Φ_{3}}$ admits such a decomposition. We then provide an atomic decomposition for certain Hardy-Orlicz spaces, which allows us to describe the topological dual of these spaces when the associated function is concave. Finally, these results are applied to the study of the continuity of the Hankel operators in this setting.

math.CA↗
arXiv2025

Factorization of Hardy-Orlicz Space on the Disk and applications to Hankel Operators

In this work, we prove that the product of a function belonging to a Hardy-Orlicz space $H^{Φ_{1}}$ and a function from another Hardy-Orlicz space $H^{Φ_{2}}$ belongs to a third Hardy-Orlicz space $H^{Φ_{3}}$. Moreover, we establish the converse: any holomorphic function in the space $H^{Φ_{3}}$ can be expressed as the product of two functions, one from $H^{Φ_{1}}$ and the other from $H^{Φ_{2}}$. Subsequently, we use this factorization result in Hardy-Orlicz spaces to study the continuity of the Hankel operator in these spaces. More specifically, we provide gain and loss estimates for the norms of the Hankel operator in the context of analyzing its continuity in Hardy-Orlicz spaces.

math.CA↗
arXiv2024

Boundedness of the Bergman projection on some weighted mixed norm Lebesgue spaces of the upper-half space

In this paper, we prove the boundedness of the Bergman projection on weighted mixed norm spaces of the upper-half space for some weights that are constructed using the logarithm function and growth functions. Our necessary and sufficient condition is the same as in the unweighted case, that is it involves only the parameters and not the weight. We then provide some applications in terms of dual and derivative characterization, and an atomic decomposition of the corresponding Bergman spaces.

math.CA↗