English

Closure of Hardy spaces in the Bloch space

Complex Variables 2014-08-21 v1 Classical Analysis and ODEs

Abstract

A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space HpH^p of the unit ball of \Cn\Cn for 0<p<0<p<\infty is given. When 0<p10<p\leq1, the result is new even in the case of the unit disk.

Keywords

Cite

@article{arxiv.1408.4724,
  title  = {Closure of Hardy spaces in the Bloch space},
  author = {Petros Galanopoulos and Nacho Monreal Galán and Jordi Pau},
  journal= {arXiv preprint arXiv:1408.4724},
  year   = {2014}
}