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Contractive inequalities for Hardy spaces

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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.

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Functiones et Approximatio, Commentarii Mathematici, 2018, vol. 59, num. 1, p. 41-56

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Contractive inequalities for Hardy spaces