Embedding $H^\infty(\D)$ into $L^\infty(\T)$: a proof without non-tangential limits
Functional Analysis
2025-11-21 v1
Abstract
The purpose of this note is to show in an accessible and self-contained way the existence of an isometric algebra embedding from into , without appealing to Fatou's classical theorem on non-tangential limits of analytic functions, and relying only on results from complex and functional analysis that are typically covered in a standard undergraduate course.
Keywords
Cite
@article{arxiv.2511.16489,
title = {Embedding $H^\infty(\D)$ into $L^\infty(\T)$: a proof without non-tangential limits},
author = {Mario P. Maletzki},
journal= {arXiv preprint arXiv:2511.16489},
year = {2025}
}