Majorization in de Branges spaces I. Representability of subspaces
Complex Variables
2010-05-18 v1 Functional Analysis
Abstract
In this series of papers we study subspaces of de Branges spaces of entire functions which are generated by majorization on subsets of the closed upper half-plane. The present, first, part is addressed to the question which subspaces of a given de Branges space can be represented by means of majorization. Results depend on the set where majorization is permitted. Significantly different situations are encountered when is close to the real axis or accumulates to .
Cite
@article{arxiv.0906.2939,
title = {Majorization in de Branges spaces I. Representability of subspaces},
author = {Anton Baranov and Harald Woracek},
journal= {arXiv preprint arXiv:0906.2939},
year = {2010}
}