English

Products of unbounded Bloch functions

Complex Variables 2019-10-29 v1

Abstract

We give new constructions of pair of functions (f,g)(f, g), analytic in the unit disc, with gHg\in H^\infty and ff an unbounded Bloch function, such that the product gfg\cdot f is not a Bloch function.

Keywords

Cite

@article{arxiv.1910.12550,
  title  = {Products of unbounded Bloch functions},
  author = {Daniel Girela},
  journal= {arXiv preprint arXiv:1910.12550},
  year   = {2019}
}