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Article

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Accepted version

Publication date

2018-09

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/197005

Contractive inequalities for Hardy spaces

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https://doi.org/10.7169/facm/1680

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 $q \geq p$. Some numerical evidence is given that supports our conjectures.

Subject

Espais de Hardy, Anàlisi harmònica, Desigualtats (Matemàtica)

Subject (English)

Hardy spaces, Harmonic analysis, Inequalities (Mathematics)

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

BREVIG, Ole Fredrik, et al. Contractive inequalities for Hardy spaces. Functiones et Approximatio. Commentarii Mathematici. Vol.  2018, num. 59, pags. 1. ISSN 0208-6573. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/197005

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