English

Inner Functions in certain Hardy-Sobolev Spaces

Complex Variables 2018-10-01 v2 Classical Analysis and ODEs

Abstract

For 1/2<p<11/2<p<1, a description of inner functions whose derivative is in the Hardy space HpH^p is given in terms of either their mapping properties or the geometric distribution of their zeros.

Keywords

Cite

@article{arxiv.1606.08467,
  title  = {Inner Functions in certain Hardy-Sobolev Spaces},
  author = {Janne Gröhn and Artur Nicolau},
  journal= {arXiv preprint arXiv:1606.08467},
  year   = {2018}
}

Comments

20 pages. This is a revised version in which a reference for Corollary 2 has been added

R2 v1 2026-06-22T14:35:47.711Z