Factorization of some Hardy type spaces of holomorphic functions
Classical Analysis and ODEs
2015-04-10 v2 Complex Variables
Abstract
We prove that the pointwise product of two holomorphic functions of the upper half-plane, one in the Hardy space , the other one in its dual, belongs to a Hardy type space. Conversely, every holomorphic function in this space can be written as such a product. This generalizes previous characterization in the context of the unit disc.
Keywords
Cite
@article{arxiv.1406.5438,
title = {Factorization of some Hardy type spaces of holomorphic functions},
author = {Aline Bonami and Luong Dang Ky},
journal= {arXiv preprint arXiv:1406.5438},
year = {2015}
}
Comments
C. R. Math. Acad. Sci. Paris (to appear)