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.
Citation
Ole Fredrik Brevig. Joaquim Ortega-Cerdà. Kristian Seip. Jing Zhao. "Contractive inequalities for Hardy spaces." Funct. Approx. Comment. Math. 59 (1) 41 - 56, September 2018. https://doi.org/10.7169/facm/1680
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