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 into in the unit ball of Cn, in the case where the growth functions and 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 , 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