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Contractive inequalities for Hardy spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2018Embargo end date: 01 Jan 2017 Spain Publisher:Adam Mickiewicz University (Euclid)Journal:Functiones et Approximatio Commentarii Mathematici, volume 59 (issn: 0208-6573,

Authors: Brevig, Ole Fredrik; Ortega-Cerdà, Joaquim; Seip, Kristian; Zhao, Jing;

doi: 10.7169/facm/1680 , 10.48550/arxiv.1706.00738

arXiv: http://arxiv.org/abs/1706.00738

handle: 2445/197005

Contractive inequalities for Hardy spaces

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Abstract

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.

This paper has been accepted for publication in Functiones et Approximatio Commentarii Mathematici

Country

Spain

Related Organizations

University of Barcelona
Spain
Norwegian University of Science and Technology
Norway

Keywords

contractive inequalities, Hardy spaces, Mathematics - Complex Variables, Espais de Hardy, Anàlisi harmònica, Functional Analysis (math.FA), Harmonic analysis, Mathematics - Functional Analysis, extremal problems, 30H10, Inequalities (Mathematics), FOS: Mathematics, Complex Variables (math.CV), 42A05, Desigualtats (Matemàtica)

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