On the singular factor of a linear combination of holomorphic functions

Konstantin M. Dyakonov

doi:10.1016/j.crma.2012.05.004

paper

On the singular factor of a linear combination of holomorphic functions

arXiv:1210.0599 · doi:10.1016/j.crma.2012.05.004

Abstract

We prove that the linear combinations of functions $f_{0}, ..., f_{n}$ in $H^{\infty}$ have "few" singular inner factors, provided that the $f_{j}$ 's are suitably smooth up to the boundary, while in general this is no longer true.

4 pages

References in corpus (1)

ABC-type estimates via Garsia-type norms