Rubel's problem on bounded analytic functions
Complex Variables
2016-06-13 v1
Abstract
The paper shows that for any set of Lebesgue measure zero on the unit circle there exists a function such that the radial limits of exist at each point of and vanish precisely on . This solves a problem proposed by Lee Rubel in 1973.
Cite
@article{arxiv.1606.03116,
title = {Rubel's problem on bounded analytic functions},
author = {Arthur A. Danielyan},
journal= {arXiv preprint arXiv:1606.03116},
year = {2016}
}