Contractive inequalities for Hardy spaces
Journal article, Peer reviewed
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Original versionFunctiones et Approximatio Commentarii Mathematici. 2018, 59 (1), 41-56. 10.7169/facm/1680
We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical Hp spaces of the unit disc. We study both coefficient estimates in terms of weighted ℓ 2 sums and the Riesz projection viewed as a map from L q to Hp with q ≥ p. Some numerical evidence is given that supports our conjectures.