English

Hankel operators on holomorphic Hardy-Orlicz spaces

Classical Analysis and ODEs 2012-06-01 v1 Complex Variables

Abstract

We characterize the symbols of Hankel operators that ex- tend into bounded operators from the Hardy-Orlicz HΦ1(Bn)H^{\Phi_1} (\mathbb B^n) into HΦ2(Bn)H^{\Phi_2} (\mathbb B^n) in the unit ball of Cn, in the case where the growth functions ?Φ1?\Phi_1 and Φ2\Phi_2 are either concave or convex. The case where the growth functions are both concave has been studied by Bonami and Sehba. We also obtain several weak factorization theorems for functions in HΦ(Bn)H^\Phi(\mathbb B^n), with concave growth function, in terms of products of Hardy-Orlicz functions with convex growth functions.

Keywords

Cite

@article{arxiv.1205.7058,
  title  = {Hankel operators on holomorphic Hardy-Orlicz spaces},
  author = {Benoit F. Sehba and Edgar Tchoundja},
  journal= {arXiv preprint arXiv:1205.7058},
  year   = {2012}
}

Comments

Accepted for publication

R2 v1 2026-06-21T21:12:35.925Z