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arXiv · 1706.00738

Contractive inequalities for Hardy spaces

Ole Fredrik Brevig·Joaquim Ortega-Cerdà·Kristian Seip·Jing Zhao
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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.

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Ole Fredrik Brevig, Joaquim Ortega-Cerdà, Kristian Seip, Jing Zhao. 2017-06-02. Contractive inequalities for Hardy spaces. https://doi.org/10.7169/facm%2F1680

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