Contractive inequalities between Dirichlet and Hardy spaces
Complex Variables
2024-02-19 v2 Functional Analysis
Abstract
We prove a conjecture of Brevig, Ortega-Cerd\`a, Seip and Zhao about contractive inequalities between Dirichlet and Hardy spaces and discuss its consequent connection with the Riesz projection.
Cite
@article{arxiv.2209.14104,
title = {Contractive inequalities between Dirichlet and Hardy spaces},
author = {Adrián Llinares},
journal= {arXiv preprint arXiv:2209.14104},
year = {2024}
}
Comments
A new section about the extension of the main result to several variables and Dirichlet series has been added