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A generalization of representation theorems in Hardy-Orlicz spaces on the upper complex half-plane

Functional Analysis 2023-08-04 v1 Classical Analysis and ODEs

Abstract

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 of certain Hardy-Orlicz spaces and also for the characterization of some classical operators in Orlicz spaces.

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Cite

@article{arxiv.2308.01820,
  title  = {A generalization of representation theorems in Hardy-Orlicz spaces on the upper complex half-plane},
  author = {Jean-Marcel Tanoh Dje and Justin Feuto},
  journal= {arXiv preprint arXiv:2308.01820},
  year   = {2023}
}

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37 pages