Open Access
September 2018 Contractive inequalities for Hardy spaces
Ole Fredrik Brevig, Joaquim Ortega-Cerdà, Kristian Seip, Jing Zhao
Funct. Approx. Comment. Math. 59(1): 41-56 (September 2018). DOI: 10.7169/facm/1680


We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical $H^p$ spaces of the unit disc. We study both coefficient estimates in terms of weighted $\ell^2$ sums and the Riesz projection viewed as a map from $L^q$ to $H^p$ with $q\ge p$. Some numerical evidence is given that supports our conjectures.


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Ole Fredrik Brevig. Joaquim Ortega-Cerdà. Kristian Seip. Jing Zhao. "Contractive inequalities for Hardy spaces." Funct. Approx. Comment. Math. 59 (1) 41 - 56, September 2018.


Published: September 2018
First available in Project Euclid: 26 June 2018

zbMATH: 06979908
MathSciNet: MR3858278
Digital Object Identifier: 10.7169/facm/1680

Primary: 30H10
Secondary: 42A05

Keywords: contractive inequalities , Extremal problems , Hardy spaces

Rights: Copyright © 2018 Adam Mickiewicz University

Vol.59 • No. 1 • September 2018
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